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Finding the Third Proportional to 457,660.13 and 984,198.09

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Solution

The third proportional to 457,660.13 and 984,198.09 is: 2,116,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,660.13 : 984,198.09 = 984,198.09 : x
  2. Step 2: Convert to fraction form
    457,660.13/984,198.09 = 984,198.09/x
  3. Step 3: Cross multiply
    457,660.13x = 984,198.09 × 984,198.09
  4. Step 4: Simplify right side
    457,660.13x = 968,645,887,741.13
  5. Step 5: Solve for x
    x = 968,645,887,741.13/457,660.13
  6. Step 6: Final answer
    x = 2,116,517.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.