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Finding the Third Proportional to 725,753 and 1,538,029

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Solution

The third proportional to 725,753 and 1,538,029 is: 3,259,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,753 : 1,538,029 = 1,538,029 : x
  2. Step 2: Convert to fraction form
    725,753/1,538,029 = 1,538,029/x
  3. Step 3: Cross multiply
    725,753x = 1,538,029 × 1,538,029
  4. Step 4: Simplify right side
    725,753x = 2,365,533,204,841
  5. Step 5: Solve for x
    x = 2,365,533,204,841/725,753
  6. Step 6: Final answer
    x = 3,259,419.12

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Why These Related Problems?

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