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Finding the Third Proportional to 725,442 and 1,127,085

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Solution

The third proportional to 725,442 and 1,127,085 is: 1,751,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,442 : 1,127,085 = 1,127,085 : x
  2. Step 2: Convert to fraction form
    725,442/1,127,085 = 1,127,085/x
  3. Step 3: Cross multiply
    725,442x = 1,127,085 × 1,127,085
  4. Step 4: Simplify right side
    725,442x = 1,270,320,597,225
  5. Step 5: Solve for x
    x = 1,270,320,597,225/725,442
  6. Step 6: Final answer
    x = 1,751,098.77

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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.