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Finding the Third Proportional to 752,578 and 1,152,843

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Solution

The third proportional to 752,578 and 1,152,843 is: 1,765,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,578 : 1,152,843 = 1,152,843 : x
  2. Step 2: Convert to fraction form
    752,578/1,152,843 = 1,152,843/x
  3. Step 3: Cross multiply
    752,578x = 1,152,843 × 1,152,843
  4. Step 4: Simplify right side
    752,578x = 1,329,046,982,649
  5. Step 5: Solve for x
    x = 1,329,046,982,649/752,578
  6. Step 6: Final answer
    x = 1,765,992.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.