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Finding the Third Proportional to 725,754 and 1,538,031

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Solution

The third proportional to 725,754 and 1,538,031 is: 3,259,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,754 : 1,538,031 = 1,538,031 : x
  2. Step 2: Convert to fraction form
    725,754/1,538,031 = 1,538,031/x
  3. Step 3: Cross multiply
    725,754x = 1,538,031 × 1,538,031
  4. Step 4: Simplify right side
    725,754x = 2,365,539,356,961
  5. Step 5: Solve for x
    x = 2,365,539,356,961/725,754
  6. Step 6: Final answer
    x = 3,259,423.11

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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.