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Finding the Third Proportional to 576,573 and 1,261,744

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Solution

The third proportional to 576,573 and 1,261,744 is: 2,761,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,573 : 1,261,744 = 1,261,744 : x
  2. Step 2: Convert to fraction form
    576,573/1,261,744 = 1,261,744/x
  3. Step 3: Cross multiply
    576,573x = 1,261,744 × 1,261,744
  4. Step 4: Simplify right side
    576,573x = 1,591,997,921,536
  5. Step 5: Solve for x
    x = 1,591,997,921,536/576,573
  6. Step 6: Final answer
    x = 2,761,138.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.