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Finding the Third Proportional to 689,387 and 1,489,456

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Solution

The third proportional to 689,387 and 1,489,456 is: 3,218,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,387 : 1,489,456 = 1,489,456 : x
  2. Step 2: Convert to fraction form
    689,387/1,489,456 = 1,489,456/x
  3. Step 3: Cross multiply
    689,387x = 1,489,456 × 1,489,456
  4. Step 4: Simplify right side
    689,387x = 2,218,479,175,936
  5. Step 5: Solve for x
    x = 2,218,479,175,936/689,387
  6. Step 6: Final answer
    x = 3,218,046.14

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Why These Related Problems?

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