lithium ion battery power usuage and calculations

I have lithium-ion battery that's rated as

3.7 Vdc
1410 Mah
5.217 Mah

run time on battery is about 20-30 minutes. 20-30 minutes is to short, and there are no replacement batteries that run longer. My only option is to use a portable battery pack and charge the device through USB.

If i wanted to increase the run time to say 4 hours and wanted to get a portable battery pack, would a 5000 Mah battery pack work or would I need more?

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Commented:
Yes, that's correct.
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Commented:
No because 5,000 Mah is only 3.5X more than 1210 roughly.  5,000 Mah should give you about 110 minutes of run time.
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Author Commented:
if 5,000 gives me 110 minutes then i need at least 15,000 mah. That's enough to power a laptop isn't that? What i have to a little portable device.

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Commented:
Yes that would give you roughly 5.5 hours of run time.  I don't know how big this power source is going to be if they even exist.  At some point you might just want to get a Yamaha generator or a realllllyy long extension chord, heh :)
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Author Commented:
okay something is confusing me

Energizer XP18000 Rechargeable Power Pack, it's 18,000 and can run a laptop for 6 hours. What i need to power is a pico projector, it's tiny, it's 5x smaller than a laptop so I don't understand how I would need nearly the same amount of mah.

I can't imagine my pico projector using the same amount of power as a portable laptop. I can charge the projector via USB which at max does only 5v.

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Commented:
I'm going off the numbers you gave.  For example:

1,410 Mah = 30 Minutes
14,100 Mah = 5 Hours (300 minutes)
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Author Commented:
that's insane, it still baffles me how the pico uses the same amount of power as a laptop
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Commented:
Oh yeah absolutely.  The super bright light bulbs (the ones that cost a fortune to replace) use a LOT of heat so its highly inefficient.  Can't wait until they start making LED projectors!
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Author Commented:
but i am using an led projector. The pico is a led based projector.

The numbers that i gave you were from the battery itself,

the run time was what i got from the unit when i ran it after it was fully charged
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Commented:
Okay yeah so the numbers I gave you are based on your statement that 1410 Mah gives you 30 minutes.

If 1410 Mah gives you 30 minutes of use Then 14,100 Mah will give you 5 hours or so.
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Author Commented:
so 9000 would give me 3 hours
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Author Commented:
thanks
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