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Finding the Third Proportional to 2,257,034 and 4,882,198

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Solution

The third proportional to 2,257,034 and 4,882,198 is: 10,560,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,034 : 4,882,198 = 4,882,198 : x
  2. Step 2: Convert to fraction form
    2,257,034/4,882,198 = 4,882,198/x
  3. Step 3: Cross multiply
    2,257,034x = 4,882,198 × 4,882,198
  4. Step 4: Simplify right side
    2,257,034x = 23,835,857,311,204
  5. Step 5: Solve for x
    x = 23,835,857,311,204/2,257,034
  6. Step 6: Final answer
    x = 10,560,699.27

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