Besides, if we have a true democratic election where whoever gets the popular vote wins, there would be no need to look to the lesser populated areas for votes. All the megalopolitan areas, like California, New England States, and Florida, would elect the president.
We can see such an example in the State of Illinois. If you look at a map of red and blue counties, you'd see that Illinois is almost covered in red. However, Kerry got Illinois because of Chicago and a few remote areas.
Here is something to relieve stress.
a + b = t
(a + b)(a - b) = t(a - b)
a - b = at - bt
a - at = b - bt
a - at + t/4 = b - bt + t/4
(a - t/2) = (b - t/2)
a - t/2 = b - t/2
a = b
Since all numbers are the same, math is useless.