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Finding the Third Proportional to 809,192 and 1,744,591

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Solution

The third proportional to 809,192 and 1,744,591 is: 3,761,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,192 : 1,744,591 = 1,744,591 : x
  2. Step 2: Convert to fraction form
    809,192/1,744,591 = 1,744,591/x
  3. Step 3: Cross multiply
    809,192x = 1,744,591 × 1,744,591
  4. Step 4: Simplify right side
    809,192x = 3,043,597,757,281
  5. Step 5: Solve for x
    x = 3,043,597,757,281/809,192
  6. Step 6: Final answer
    x = 3,761,280.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.