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What is the largest three-digit integer whose digits are distinct and form a geometric sequence with common ratio 2?

 Jan 5, 2022
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There are really only two numbers that satisfy this: 124 and 248. (The next possible one would be 36{12} which doesn't work in a base ten system.)

 

248 is the larger one and is therefore your answer.

 Jan 5, 2022

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