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Finding the Third Proportional to 1,491,729.75 and 3,221,158.22

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Solution

The third proportional to 1,491,729.75 and 3,221,158.22 is: 6,955,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,729.75 : 3,221,158.22 = 3,221,158.22 : x
  2. Step 2: Convert to fraction form
    1,491,729.75/3,221,158.22 = 3,221,158.22/x
  3. Step 3: Cross multiply
    1,491,729.75x = 3,221,158.22 × 3,221,158.22
  4. Step 4: Simplify right side
    1,491,729.75x = 10,375,860,270,220.67
  5. Step 5: Solve for x
    x = 10,375,860,270,220.67/1,491,729.75
  6. Step 6: Final answer
    x = 6,955,589.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.