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Finding the Third Proportional to 461,215.13 and 951,972.75

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Solution

The third proportional to 461,215.13 and 951,972.75 is: 1,964,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,215.13 : 951,972.75 = 951,972.75 : x
  2. Step 2: Convert to fraction form
    461,215.13/951,972.75 = 951,972.75/x
  3. Step 3: Cross multiply
    461,215.13x = 951,972.75 × 951,972.75
  4. Step 4: Simplify right side
    461,215.13x = 906,252,116,742.56
  5. Step 5: Solve for x
    x = 906,252,116,742.56/461,215.13
  6. Step 6: Final answer
    x = 1,964,922.80

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.