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Finding the Third Proportional to 689,372.25 and 1,489,431

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Solution

The third proportional to 689,372.25 and 1,489,431 is: 3,218,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,372.25 : 1,489,431 = 1,489,431 : x
  2. Step 2: Convert to fraction form
    689,372.25/1,489,431 = 1,489,431/x
  3. Step 3: Cross multiply
    689,372.25x = 1,489,431 × 1,489,431
  4. Step 4: Simplify right side
    689,372.25x = 2,218,404,703,761
  5. Step 5: Solve for x
    x = 2,218,404,703,761/689,372.25
  6. Step 6: Final answer
    x = 3,218,006.97

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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.