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Finding the Third Proportional to 418,366 and 861,500

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Solution

The third proportional to 418,366 and 861,500 is: 1,774,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,366 : 861,500 = 861,500 : x
  2. Step 2: Convert to fraction form
    418,366/861,500 = 861,500/x
  3. Step 3: Cross multiply
    418,366x = 861,500 × 861,500
  4. Step 4: Simplify right side
    418,366x = 742,182,250,000
  5. Step 5: Solve for x
    x = 742,182,250,000/418,366
  6. Step 6: Final answer
    x = 1,774,002.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.