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Finding the Third Proportional to 468,092.25 and 1,008,286.50

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Solution

The third proportional to 468,092.25 and 1,008,286.50 is: 2,171,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,092.25 : 1,008,286.50 = 1,008,286.50 : x
  2. Step 2: Convert to fraction form
    468,092.25/1,008,286.50 = 1,008,286.50/x
  3. Step 3: Cross multiply
    468,092.25x = 1,008,286.50 × 1,008,286.50
  4. Step 4: Simplify right side
    468,092.25x = 1,016,641,666,082.25
  5. Step 5: Solve for x
    x = 1,016,641,666,082.25/468,092.25
  6. Step 6: Final answer
    x = 2,171,883.14

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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.