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Finding the Third Proportional to 649,107 and 1,407,699

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Solution

The third proportional to 649,107 and 1,407,699 is: 3,052,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,107 : 1,407,699 = 1,407,699 : x
  2. Step 2: Convert to fraction form
    649,107/1,407,699 = 1,407,699/x
  3. Step 3: Cross multiply
    649,107x = 1,407,699 × 1,407,699
  4. Step 4: Simplify right side
    649,107x = 1,981,616,474,601
  5. Step 5: Solve for x
    x = 1,981,616,474,601/649,107
  6. Step 6: Final answer
    x = 3,052,834.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.