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Finding the Third Proportional to 2,225,144.13 and 4,568,249

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Solution

The third proportional to 2,225,144.13 and 4,568,249 is: 9,378,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,144.13 : 4,568,249 = 4,568,249 : x
  2. Step 2: Convert to fraction form
    2,225,144.13/4,568,249 = 4,568,249/x
  3. Step 3: Cross multiply
    2,225,144.13x = 4,568,249 × 4,568,249
  4. Step 4: Simplify right side
    2,225,144.13x = 20,868,898,926,001
  5. Step 5: Solve for x
    x = 20,868,898,926,001/2,225,144.13
  6. Step 6: Final answer
    x = 9,378,672.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.