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Finding the Third Proportional to 403,671 and 951,564

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Solution

The third proportional to 403,671 and 951,564 is: 2,243,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,671 : 951,564 = 951,564 : x
  2. Step 2: Convert to fraction form
    403,671/951,564 = 951,564/x
  3. Step 3: Cross multiply
    403,671x = 951,564 × 951,564
  4. Step 4: Simplify right side
    403,671x = 905,474,046,096
  5. Step 5: Solve for x
    x = 905,474,046,096/403,671
  6. Step 6: Final answer
    x = 2,243,099.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.