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Finding the Third Proportional to 2,143,694 and 3,412,341

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Solution

The third proportional to 2,143,694 and 3,412,341 is: 5,431,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,694 : 3,412,341 = 3,412,341 : x
  2. Step 2: Convert to fraction form
    2,143,694/3,412,341 = 3,412,341/x
  3. Step 3: Cross multiply
    2,143,694x = 3,412,341 × 3,412,341
  4. Step 4: Simplify right side
    2,143,694x = 11,644,071,100,281
  5. Step 5: Solve for x
    x = 11,644,071,100,281/2,143,694
  6. Step 6: Final answer
    x = 5,431,778.56

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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.