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Finding the Third Proportional to 1,448,723.50 and 3,149,675

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Solution

The third proportional to 1,448,723.50 and 3,149,675 is: 6,847,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,723.50 : 3,149,675 = 3,149,675 : x
  2. Step 2: Convert to fraction form
    1,448,723.50/3,149,675 = 3,149,675/x
  3. Step 3: Cross multiply
    1,448,723.50x = 3,149,675 × 3,149,675
  4. Step 4: Simplify right side
    1,448,723.50x = 9,920,452,605,625
  5. Step 5: Solve for x
    x = 9,920,452,605,625/1,448,723.50
  6. Step 6: Final answer
    x = 6,847,719.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.