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Finding the Third Proportional to 551,694 and 984,744

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Solution

The third proportional to 551,694 and 984,744 is: 1,757,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,694 : 984,744 = 984,744 : x
  2. Step 2: Convert to fraction form
    551,694/984,744 = 984,744/x
  3. Step 3: Cross multiply
    551,694x = 984,744 × 984,744
  4. Step 4: Simplify right side
    551,694x = 969,720,745,536
  5. Step 5: Solve for x
    x = 969,720,745,536/551,694
  6. Step 6: Final answer
    x = 1,757,714.87

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.