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Finding the Third Proportional to 555,776 and 861,123

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Solution

The third proportional to 555,776 and 861,123 is: 1,334,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,776 : 861,123 = 861,123 : x
  2. Step 2: Convert to fraction form
    555,776/861,123 = 861,123/x
  3. Step 3: Cross multiply
    555,776x = 861,123 × 861,123
  4. Step 4: Simplify right side
    555,776x = 741,532,821,129
  5. Step 5: Solve for x
    x = 741,532,821,129/555,776
  6. Step 6: Final answer
    x = 1,334,229.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.