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Finding the Third Proportional to 681,702 and 1,036,718

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Solution

The third proportional to 681,702 and 1,036,718 is: 1,576,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,702 : 1,036,718 = 1,036,718 : x
  2. Step 2: Convert to fraction form
    681,702/1,036,718 = 1,036,718/x
  3. Step 3: Cross multiply
    681,702x = 1,036,718 × 1,036,718
  4. Step 4: Simplify right side
    681,702x = 1,074,784,211,524
  5. Step 5: Solve for x
    x = 1,074,784,211,524/681,702
  6. Step 6: Final answer
    x = 1,576,618.83

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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.