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Finding the Third Proportional to 2,272,448 and 4,951,680

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Solution

The third proportional to 2,272,448 and 4,951,680 is: 10,789,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,448 : 4,951,680 = 4,951,680 : x
  2. Step 2: Convert to fraction form
    2,272,448/4,951,680 = 4,951,680/x
  3. Step 3: Cross multiply
    2,272,448x = 4,951,680 × 4,951,680
  4. Step 4: Simplify right side
    2,272,448x = 24,519,134,822,400
  5. Step 5: Solve for x
    x = 24,519,134,822,400/2,272,448
  6. Step 6: Final answer
    x = 10,789,745.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.