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Finding the Third Proportional to 416,871 and 853,398

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Solution

The third proportional to 416,871 and 853,398 is: 1,747,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,871 : 853,398 = 853,398 : x
  2. Step 2: Convert to fraction form
    416,871/853,398 = 853,398/x
  3. Step 3: Cross multiply
    416,871x = 853,398 × 853,398
  4. Step 4: Simplify right side
    416,871x = 728,288,146,404
  5. Step 5: Solve for x
    x = 728,288,146,404/416,871
  6. Step 6: Final answer
    x = 1,747,034.81

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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.