Combining =HYPERLINK() & =LOOKUP() in Excel

Hello,

This is a follow-up question to two other threads which can be found here:

    1)  Determining the correct argument for =HYPERLINK() in Excel
    2)  Understanding the syntax in =HYPERLINK() in Excel

In the two files attached to this question:

    File1 has a some entries in col B under the heading "Num."  Col C has the heading "Link" but no data yet.
    File2\SheetA has entries in col E and col F under the headings "Num" and "Row" respectively

I have written a formula in File1 which works successfully to lookup data from File2\SheetA (it's off to the side in col F):

    =LOOKUP(B3,[File2.xlsx]SheetA!$E$2:$E$15,[File2.xlsx]SheetA!$F$2:$F$15)

in which:

    the lookup_value comes from File1:col B
    the lookup_vector is File2SheetA:col E
    the result_vector is  File2SheetA:col F

For simplicity, I will refer to this =LOOKUP() formula as L-Fxn.

Now, in File1:col C, under the heading "Link," I want to use =HYPERLINK() to create a column of links, for which the targets will be in File2\SheetB and have a cell reference in which the column is col A and the row is defined by L-Fxn.  In other words, for any value in File1:col B, I want to be able to click an adjacent link in col C and have it take me to the col A cell of a row in File2\SheetB defined by the data in File2\SheetB (cell reference = A&L-Fxn).

Example:

    File1:cell B3 value = 1629
        In File2\SheetB, the value 1629 is found in cell B4
        Cell C4 value = 604
    Therefore, the link in File1:cell C3
        should take me to File2\SheetB:cellA604

I've written plenty of =HYPERLINK() formulas in the past and I've tried several different changes to get it right but keep getting an error.  I think the tricky part is plugging in L-Fxn with the correct quotation marks, etc.  If someone could bail me out, I'd appreciate it.

Thanks
 File1.xlsm File2.xlsm