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Finding the Third Proportional to 752,728 and 1,614,608

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Solution

The third proportional to 752,728 and 1,614,608 is: 3,463,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,728 : 1,614,608 = 1,614,608 : x
  2. Step 2: Convert to fraction form
    752,728/1,614,608 = 1,614,608/x
  3. Step 3: Cross multiply
    752,728x = 1,614,608 × 1,614,608
  4. Step 4: Simplify right side
    752,728x = 2,606,958,993,664
  5. Step 5: Solve for x
    x = 2,606,958,993,664/752,728
  6. Step 6: Final answer
    x = 3,463,347.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.