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Finding the Third Proportional to 752,016 and 1,642,272

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Solution

The third proportional to 752,016 and 1,642,272 is: 3,586,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,016 : 1,642,272 = 1,642,272 : x
  2. Step 2: Convert to fraction form
    752,016/1,642,272 = 1,642,272/x
  3. Step 3: Cross multiply
    752,016x = 1,642,272 × 1,642,272
  4. Step 4: Simplify right side
    752,016x = 2,697,057,321,984
  5. Step 5: Solve for x
    x = 2,697,057,321,984/752,016
  6. Step 6: Final answer
    x = 3,586,436.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.