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Finding the Third Proportional to 555,774 and 861,120

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Solution

The third proportional to 555,774 and 861,120 is: 1,334,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,774 : 861,120 = 861,120 : x
  2. Step 2: Convert to fraction form
    555,774/861,120 = 861,120/x
  3. Step 3: Cross multiply
    555,774x = 861,120 × 861,120
  4. Step 4: Simplify right side
    555,774x = 741,527,654,400
  5. Step 5: Solve for x
    x = 741,527,654,400/555,774
  6. Step 6: Final answer
    x = 1,334,225.16

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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.