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Finding the Third Proportional to 681,912 and 1,022,868

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Solution

The third proportional to 681,912 and 1,022,868 is: 1,534,302

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,912 : 1,022,868 = 1,022,868 : x
  2. Step 2: Convert to fraction form
    681,912/1,022,868 = 1,022,868/x
  3. Step 3: Cross multiply
    681,912x = 1,022,868 × 1,022,868
  4. Step 4: Simplify right side
    681,912x = 1,046,258,945,424
  5. Step 5: Solve for x
    x = 1,046,258,945,424/681,912
  6. Step 6: Final answer
    x = 1,534,302

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