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Finding the Third Proportional to 730,144.13 and 1,597,932

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Solution

The third proportional to 730,144.13 and 1,597,932 is: 3,497,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,144.13 : 1,597,932 = 1,597,932 : x
  2. Step 2: Convert to fraction form
    730,144.13/1,597,932 = 1,597,932/x
  3. Step 3: Cross multiply
    730,144.13x = 1,597,932 × 1,597,932
  4. Step 4: Simplify right side
    730,144.13x = 2,553,386,676,624
  5. Step 5: Solve for x
    x = 2,553,386,676,624/730,144.13
  6. Step 6: Final answer
    x = 3,497,099.53

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Why These Related Problems?

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