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Finding the Third Proportional to 649,836.75 and 1,449,088.13

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Solution

The third proportional to 649,836.75 and 1,449,088.13 is: 3,231,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,836.75 : 1,449,088.13 = 1,449,088.13 : x
  2. Step 2: Convert to fraction form
    649,836.75/1,449,088.13 = 1,449,088.13/x
  3. Step 3: Cross multiply
    649,836.75x = 1,449,088.13 × 1,449,088.13
  4. Step 4: Simplify right side
    649,836.75x = 2,099,856,394,016.02
  5. Step 5: Solve for x
    x = 2,099,856,394,016.02/649,836.75
  6. Step 6: Final answer
    x = 3,231,359.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.