Stupid programming question

[Michael French <mfrench@ashevillemail.com>]

    I have two text files each with a single column of numbers in them 
and I want to write a script that multiplies the number on each line of 
file one with the corresponding number from file two and produces a sum 
of the multiplied numbers in the 2 files..  How would I do this with a 
loop?  This is just a small shell script, I can use perl if I need to, I 
just need to know the data structure.  If it was just one file, I would 
do something like this:

SUM=0
NUMBER1=`cat $FILE1`
for m in $NUMBER1
    do
    SUM=`echo "scale=4; $SUM * $m" |bc`
    done

Not exactly right, but you get the jist of it.  Obviously this won't work:

SUM=0
NUMBER1=`cat $FILE1`
NUMBER2=`cat $FILE2`
for m in $NUMBER1 and n in $NUMBER2
    do
    SUM=`echo "scale=4; $m * $n" |bc`
    done

Thanks for any help you can provide, let me know if you need more info.

Michael French