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Finding the Third Proportional to 409,311 and 861,036.75

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Solution

The third proportional to 409,311 and 861,036.75 is: 1,811,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,311 : 861,036.75 = 861,036.75 : x
  2. Step 2: Convert to fraction form
    409,311/861,036.75 = 861,036.75/x
  3. Step 3: Cross multiply
    409,311x = 861,036.75 × 861,036.75
  4. Step 4: Simplify right side
    409,311x = 741,384,284,850.56
  5. Step 5: Solve for x
    x = 741,384,284,850.56/409,311
  6. Step 6: Final answer
    x = 1,811,298.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.