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Finding the Third Proportional to 681,869 and 1,022,804

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Solution

The third proportional to 681,869 and 1,022,804 is: 1,534,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,869 : 1,022,804 = 1,022,804 : x
  2. Step 2: Convert to fraction form
    681,869/1,022,804 = 1,022,804/x
  3. Step 3: Cross multiply
    681,869x = 1,022,804 × 1,022,804
  4. Step 4: Simplify right side
    681,869x = 1,046,128,022,416
  5. Step 5: Solve for x
    x = 1,046,128,022,416/681,869
  6. Step 6: Final answer
    x = 1,534,206.75

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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.