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Finding the Third Proportional to 2,143,794 and 3,412,491

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Solution

The third proportional to 2,143,794 and 3,412,491 is: 5,432,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,794 : 3,412,491 = 3,412,491 : x
  2. Step 2: Convert to fraction form
    2,143,794/3,412,491 = 3,412,491/x
  3. Step 3: Cross multiply
    2,143,794x = 3,412,491 × 3,412,491
  4. Step 4: Simplify right side
    2,143,794x = 11,645,094,825,081
  5. Step 5: Solve for x
    x = 11,645,094,825,081/2,143,794
  6. Step 6: Final answer
    x = 5,432,002.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.