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Finding the Third Proportional to 555,771 and 861,114

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Solution

The third proportional to 555,771 and 861,114 is: 1,334,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,771 : 861,114 = 861,114 : x
  2. Step 2: Convert to fraction form
    555,771/861,114 = 861,114/x
  3. Step 3: Cross multiply
    555,771x = 861,114 × 861,114
  4. Step 4: Simplify right side
    555,771x = 741,517,320,996
  5. Step 5: Solve for x
    x = 741,517,320,996/555,771
  6. Step 6: Final answer
    x = 1,334,213.77

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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.