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Finding the Third Proportional to 3,648,728 and 5,723,747

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Solution

The third proportional to 3,648,728 and 5,723,747 is: 8,978,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,728 : 5,723,747 = 5,723,747 : x
  2. Step 2: Convert to fraction form
    3,648,728/5,723,747 = 5,723,747/x
  3. Step 3: Cross multiply
    3,648,728x = 5,723,747 × 5,723,747
  4. Step 4: Simplify right side
    3,648,728x = 32,761,279,720,009
  5. Step 5: Solve for x
    x = 32,761,279,720,009/3,648,728
  6. Step 6: Final answer
    x = 8,978,822.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.