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Finding the Third Proportional to 723,508 and 1,121,424

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Solution

The third proportional to 723,508 and 1,121,424 is: 1,738,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,508 : 1,121,424 = 1,121,424 : x
  2. Step 2: Convert to fraction form
    723,508/1,121,424 = 1,121,424/x
  3. Step 3: Cross multiply
    723,508x = 1,121,424 × 1,121,424
  4. Step 4: Simplify right side
    723,508x = 1,257,591,787,776
  5. Step 5: Solve for x
    x = 1,257,591,787,776/723,508
  6. Step 6: Final answer
    x = 1,738,186.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.