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Finding the Third Proportional to 724,454.25 and 1,573,353.75

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Solution

The third proportional to 724,454.25 and 1,573,353.75 is: 3,416,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,454.25 : 1,573,353.75 = 1,573,353.75 : x
  2. Step 2: Convert to fraction form
    724,454.25/1,573,353.75 = 1,573,353.75/x
  3. Step 3: Cross multiply
    724,454.25x = 1,573,353.75 × 1,573,353.75
  4. Step 4: Simplify right side
    724,454.25x = 2,475,442,022,639.06
  5. Step 5: Solve for x
    x = 2,475,442,022,639.06/724,454.25
  6. Step 6: Final answer
    x = 3,416,974.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.