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Finding the Third Proportional to 725,591 and 1,694,378

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Solution

The third proportional to 725,591 and 1,694,378 is: 3,956,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,591 : 1,694,378 = 1,694,378 : x
  2. Step 2: Convert to fraction form
    725,591/1,694,378 = 1,694,378/x
  3. Step 3: Cross multiply
    725,591x = 1,694,378 × 1,694,378
  4. Step 4: Simplify right side
    725,591x = 2,870,916,806,884
  5. Step 5: Solve for x
    x = 2,870,916,806,884/725,591
  6. Step 6: Final answer
    x = 3,956,659.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.