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Finding the Third Proportional to 681,704 and 1,036,721

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Solution

The third proportional to 681,704 and 1,036,721 is: 1,576,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,704 : 1,036,721 = 1,036,721 : x
  2. Step 2: Convert to fraction form
    681,704/1,036,721 = 1,036,721/x
  3. Step 3: Cross multiply
    681,704x = 1,036,721 × 1,036,721
  4. Step 4: Simplify right side
    681,704x = 1,074,790,431,841
  5. Step 5: Solve for x
    x = 1,074,790,431,841/681,704
  6. Step 6: Final answer
    x = 1,576,623.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.