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Let's call the two numbers x and x+1. Then
x(x+1) = 1482, so
x2 + x -1482 = 0.
Using the quadratic formula gives x = (-1 ± √(1-4(1)(-1482)) / 2 = -39 or 38.
So, if both numbers are positive, then one is 38, and the next number is 39, so 38*39 = 1482.
(If both numbers were negative, then -39*-38 would also work.)
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