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Finding the Third Proportional to 2,225,142 and 4,568,244

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Solution

The third proportional to 2,225,142 and 4,568,244 is: 9,378,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,142 : 4,568,244 = 4,568,244 : x
  2. Step 2: Convert to fraction form
    2,225,142/4,568,244 = 4,568,244/x
  3. Step 3: Cross multiply
    2,225,142x = 4,568,244 × 4,568,244
  4. Step 4: Simplify right side
    2,225,142x = 20,868,853,243,536
  5. Step 5: Solve for x
    x = 20,868,853,243,536/2,225,142
  6. Step 6: Final answer
    x = 9,378,661.34

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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.