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Finding the Third Proportional to 2,225,141.25 and 4,568,243.25

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Solution

The third proportional to 2,225,141.25 and 4,568,243.25 is: 9,378,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,141.25 : 4,568,243.25 = 4,568,243.25 : x
  2. Step 2: Convert to fraction form
    2,225,141.25/4,568,243.25 = 4,568,243.25/x
  3. Step 3: Cross multiply
    2,225,141.25x = 4,568,243.25 × 4,568,243.25
  4. Step 4: Simplify right side
    2,225,141.25x = 20,868,846,391,170.56
  5. Step 5: Solve for x
    x = 20,868,846,391,170.56/2,225,141.25
  6. Step 6: Final answer
    x = 9,378,661.42

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