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Finding the Third Proportional to 951,549 and 1,457,463

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Solution

The third proportional to 951,549 and 1,457,463 is: 2,232,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,549 : 1,457,463 = 1,457,463 : x
  2. Step 2: Convert to fraction form
    951,549/1,457,463 = 1,457,463/x
  3. Step 3: Cross multiply
    951,549x = 1,457,463 × 1,457,463
  4. Step 4: Simplify right side
    951,549x = 2,124,198,396,369
  5. Step 5: Solve for x
    x = 2,124,198,396,369/951,549
  6. Step 6: Final answer
    x = 2,232,358.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.