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Finding the Third Proportional to 687,206 and 1,393,744

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Solution

The third proportional to 687,206 and 1,393,744 is: 2,826,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,206 : 1,393,744 = 1,393,744 : x
  2. Step 2: Convert to fraction form
    687,206/1,393,744 = 1,393,744/x
  3. Step 3: Cross multiply
    687,206x = 1,393,744 × 1,393,744
  4. Step 4: Simplify right side
    687,206x = 1,942,522,337,536
  5. Step 5: Solve for x
    x = 1,942,522,337,536/687,206
  6. Step 6: Final answer
    x = 2,826,695.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.