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Finding the Third Proportional to 555,769 and 861,111

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Solution

The third proportional to 555,769 and 861,111 is: 1,334,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,769 : 861,111 = 861,111 : x
  2. Step 2: Convert to fraction form
    555,769/861,111 = 861,111/x
  3. Step 3: Cross multiply
    555,769x = 861,111 × 861,111
  4. Step 4: Simplify right side
    555,769x = 741,512,154,321
  5. Step 5: Solve for x
    x = 741,512,154,321/555,769
  6. Step 6: Final answer
    x = 1,334,209.27

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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.