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Finding the Third Proportional to 681,858 and 1,022,787

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Solution

The third proportional to 681,858 and 1,022,787 is: 1,534,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,858 : 1,022,787 = 1,022,787 : x
  2. Step 2: Convert to fraction form
    681,858/1,022,787 = 1,022,787/x
  3. Step 3: Cross multiply
    681,858x = 1,022,787 × 1,022,787
  4. Step 4: Simplify right side
    681,858x = 1,046,093,247,369
  5. Step 5: Solve for x
    x = 1,046,093,247,369/681,858
  6. Step 6: Final answer
    x = 1,534,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.