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Finding the Third Proportional to 752,600 and 1,608,232

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Solution

The third proportional to 752,600 and 1,608,232 is: 3,436,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,600 : 1,608,232 = 1,608,232 : x
  2. Step 2: Convert to fraction form
    752,600/1,608,232 = 1,608,232/x
  3. Step 3: Cross multiply
    752,600x = 1,608,232 × 1,608,232
  4. Step 4: Simplify right side
    752,600x = 2,586,410,165,824
  5. Step 5: Solve for x
    x = 2,586,410,165,824/752,600
  6. Step 6: Final answer
    x = 3,436,633.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.