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Finding the Third Proportional to 429,708 and 927,744

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Solution

The third proportional to 429,708 and 927,744 is: 2,003,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,708 : 927,744 = 927,744 : x
  2. Step 2: Convert to fraction form
    429,708/927,744 = 927,744/x
  3. Step 3: Cross multiply
    429,708x = 927,744 × 927,744
  4. Step 4: Simplify right side
    429,708x = 860,708,929,536
  5. Step 5: Solve for x
    x = 860,708,929,536/429,708
  6. Step 6: Final answer
    x = 2,003,008.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.