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Finding the Third Proportional to 457,687.13 and 957,198.94

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Solution

The third proportional to 457,687.13 and 957,198.94 is: 2,001,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,687.13 : 957,198.94 = 957,198.94 : x
  2. Step 2: Convert to fraction form
    457,687.13/957,198.94 = 957,198.94/x
  3. Step 3: Cross multiply
    457,687.13x = 957,198.94 × 957,198.94
  4. Step 4: Simplify right side
    457,687.13x = 916,229,805,951.13
  5. Step 5: Solve for x
    x = 916,229,805,951.13/457,687.13
  6. Step 6: Final answer
    x = 2,001,869.30

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.