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Finding the Third Proportional to 809,188 and 1,744,584

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Solution

The third proportional to 809,188 and 1,744,584 is: 3,761,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,188 : 1,744,584 = 1,744,584 : x
  2. Step 2: Convert to fraction form
    809,188/1,744,584 = 1,744,584/x
  3. Step 3: Cross multiply
    809,188x = 1,744,584 × 1,744,584
  4. Step 4: Simplify right side
    809,188x = 3,043,573,333,056
  5. Step 5: Solve for x
    x = 3,043,573,333,056/809,188
  6. Step 6: Final answer
    x = 3,761,268.50

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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.