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Finding the Third Proportional to 725,112 and 1,566,864

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Solution

The third proportional to 725,112 and 1,566,864 is: 3,385,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,112 : 1,566,864 = 1,566,864 : x
  2. Step 2: Convert to fraction form
    725,112/1,566,864 = 1,566,864/x
  3. Step 3: Cross multiply
    725,112x = 1,566,864 × 1,566,864
  4. Step 4: Simplify right side
    725,112x = 2,455,062,794,496
  5. Step 5: Solve for x
    x = 2,455,062,794,496/725,112
  6. Step 6: Final answer
    x = 3,385,770.47

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