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Finding the Third Proportional to 725,160 and 1,536,764

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Solution

The third proportional to 725,160 and 1,536,764 is: 3,256,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,160 : 1,536,764 = 1,536,764 : x
  2. Step 2: Convert to fraction form
    725,160/1,536,764 = 1,536,764/x
  3. Step 3: Cross multiply
    725,160x = 1,536,764 × 1,536,764
  4. Step 4: Simplify right side
    725,160x = 2,361,643,591,696
  5. Step 5: Solve for x
    x = 2,361,643,591,696/725,160
  6. Step 6: Final answer
    x = 3,256,720.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.