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Finding the Third Proportional to 413,427 and 853,422

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Solution

The third proportional to 413,427 and 853,422 is: 1,761,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,427 : 853,422 = 853,422 : x
  2. Step 2: Convert to fraction form
    413,427/853,422 = 853,422/x
  3. Step 3: Cross multiply
    413,427x = 853,422 × 853,422
  4. Step 4: Simplify right side
    413,427x = 728,329,110,084
  5. Step 5: Solve for x
    x = 728,329,110,084/413,427
  6. Step 6: Final answer
    x = 1,761,687.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.