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Finding the Third Proportional to 725,577.75 and 1,694,342.81

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Solution

The third proportional to 725,577.75 and 1,694,342.81 is: 3,956,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,577.75 : 1,694,342.81 = 1,694,342.81 : x
  2. Step 2: Convert to fraction form
    725,577.75/1,694,342.81 = 1,694,342.81/x
  3. Step 3: Cross multiply
    725,577.75x = 1,694,342.81 × 1,694,342.81
  4. Step 4: Simplify right side
    725,577.75x = 2,870,797,566,270.41
  5. Step 5: Solve for x
    x = 2,870,797,566,270.41/725,577.75
  6. Step 6: Final answer
    x = 3,956,567.81

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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.