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Finding the Third Proportional to 561,897 and 861,597

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Solution

The third proportional to 561,897 and 861,597 is: 1,321,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,897 : 861,597 = 861,597 : x
  2. Step 2: Convert to fraction form
    561,897/861,597 = 861,597/x
  3. Step 3: Cross multiply
    561,897x = 861,597 × 861,597
  4. Step 4: Simplify right side
    561,897x = 742,349,390,409
  5. Step 5: Solve for x
    x = 742,349,390,409/561,897
  6. Step 6: Final answer
    x = 1,321,148.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.