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Finding the Third Proportional to 725,609 and 1,694,421

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Solution

The third proportional to 725,609 and 1,694,421 is: 3,956,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,609 : 1,694,421 = 1,694,421 : x
  2. Step 2: Convert to fraction form
    725,609/1,694,421 = 1,694,421/x
  3. Step 3: Cross multiply
    725,609x = 1,694,421 × 1,694,421
  4. Step 4: Simplify right side
    725,609x = 2,871,062,525,241
  5. Step 5: Solve for x
    x = 2,871,062,525,241/725,609
  6. Step 6: Final answer
    x = 3,956,762.56

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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.