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Finding the Third Proportional to 1,438,542 and 2,147,966

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Solution

The third proportional to 1,438,542 and 2,147,966 is: 3,207,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,542 : 2,147,966 = 2,147,966 : x
  2. Step 2: Convert to fraction form
    1,438,542/2,147,966 = 2,147,966/x
  3. Step 3: Cross multiply
    1,438,542x = 2,147,966 × 2,147,966
  4. Step 4: Simplify right side
    1,438,542x = 4,613,757,937,156
  5. Step 5: Solve for x
    x = 4,613,757,937,156/1,438,542
  6. Step 6: Final answer
    x = 3,207,245.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.