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Finding the Third Proportional to 415,927 and 851,562

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Solution

The third proportional to 415,927 and 851,562 is: 1,743,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,927 : 851,562 = 851,562 : x
  2. Step 2: Convert to fraction form
    415,927/851,562 = 851,562/x
  3. Step 3: Cross multiply
    415,927x = 851,562 × 851,562
  4. Step 4: Simplify right side
    415,927x = 725,157,839,844
  5. Step 5: Solve for x
    x = 725,157,839,844/415,927
  6. Step 6: Final answer
    x = 1,743,473.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.