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Finding the Third Proportional to 752,474 and 1,606,999

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Solution

The third proportional to 752,474 and 1,606,999 is: 3,431,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,474 : 1,606,999 = 1,606,999 : x
  2. Step 2: Convert to fraction form
    752,474/1,606,999 = 1,606,999/x
  3. Step 3: Cross multiply
    752,474x = 1,606,999 × 1,606,999
  4. Step 4: Simplify right side
    752,474x = 2,582,445,786,001
  5. Step 5: Solve for x
    x = 2,582,445,786,001/752,474
  6. Step 6: Final answer
    x = 3,431,940.22

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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.