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Finding the Third Proportional to 2,231,847 and 4,862,274.75

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Solution

The third proportional to 2,231,847 and 4,862,274.75 is: 10,592,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,847 : 4,862,274.75 = 4,862,274.75 : x
  2. Step 2: Convert to fraction form
    2,231,847/4,862,274.75 = 4,862,274.75/x
  3. Step 3: Cross multiply
    2,231,847x = 4,862,274.75 × 4,862,274.75
  4. Step 4: Simplify right side
    2,231,847x = 23,641,715,744,487.56
  5. Step 5: Solve for x
    x = 23,641,715,744,487.56/2,231,847
  6. Step 6: Final answer
    x = 10,592,892.68

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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.