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Finding the Third Proportional to 381,849 and 754,061

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Solution

The third proportional to 381,849 and 754,061 is: 1,489,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,849 : 754,061 = 754,061 : x
  2. Step 2: Convert to fraction form
    381,849/754,061 = 754,061/x
  3. Step 3: Cross multiply
    381,849x = 754,061 × 754,061
  4. Step 4: Simplify right side
    381,849x = 568,607,991,721
  5. Step 5: Solve for x
    x = 568,607,991,721/381,849
  6. Step 6: Final answer
    x = 1,489,091.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.