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Finding the Third Proportional to 738,720 and 1,002,780

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Solution

The third proportional to 738,720 and 1,002,780 is: 1,361,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,720 : 1,002,780 = 1,002,780 : x
  2. Step 2: Convert to fraction form
    738,720/1,002,780 = 1,002,780/x
  3. Step 3: Cross multiply
    738,720x = 1,002,780 × 1,002,780
  4. Step 4: Simplify right side
    738,720x = 1,005,567,728,400
  5. Step 5: Solve for x
    x = 1,005,567,728,400/738,720
  6. Step 6: Final answer
    x = 1,361,229.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.