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Finding the Third Proportional to 725,450 and 1,127,098

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Solution

The third proportional to 725,450 and 1,127,098 is: 1,751,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,450 : 1,127,098 = 1,127,098 : x
  2. Step 2: Convert to fraction form
    725,450/1,127,098 = 1,127,098/x
  3. Step 3: Cross multiply
    725,450x = 1,127,098 × 1,127,098
  4. Step 4: Simplify right side
    725,450x = 1,270,349,901,604
  5. Step 5: Solve for x
    x = 1,270,349,901,604/725,450
  6. Step 6: Final answer
    x = 1,751,119.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.