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Finding the Third Proportional to 726,734 and 1,115,524

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Solution

The third proportional to 726,734 and 1,115,524 is: 1,712,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,734 : 1,115,524 = 1,115,524 : x
  2. Step 2: Convert to fraction form
    726,734/1,115,524 = 1,115,524/x
  3. Step 3: Cross multiply
    726,734x = 1,115,524 × 1,115,524
  4. Step 4: Simplify right side
    726,734x = 1,244,393,794,576
  5. Step 5: Solve for x
    x = 1,244,393,794,576/726,734
  6. Step 6: Final answer
    x = 1,712,309.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.