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Finding the Third Proportional to 725,272 and 1,198,608

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Solution

The third proportional to 725,272 and 1,198,608 is: 1,980,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,272 : 1,198,608 = 1,198,608 : x
  2. Step 2: Convert to fraction form
    725,272/1,198,608 = 1,198,608/x
  3. Step 3: Cross multiply
    725,272x = 1,198,608 × 1,198,608
  4. Step 4: Simplify right side
    725,272x = 1,436,661,137,664
  5. Step 5: Solve for x
    x = 1,436,661,137,664/725,272
  6. Step 6: Final answer
    x = 1,980,858.41

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.