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Finding the Third Proportional to 681,873 and 1,435,633.50

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Solution

The third proportional to 681,873 and 1,435,633.50 is: 3,022,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,873 : 1,435,633.50 = 1,435,633.50 : x
  2. Step 2: Convert to fraction form
    681,873/1,435,633.50 = 1,435,633.50/x
  3. Step 3: Cross multiply
    681,873x = 1,435,633.50 × 1,435,633.50
  4. Step 4: Simplify right side
    681,873x = 2,061,043,546,322.25
  5. Step 5: Solve for x
    x = 2,061,043,546,322.25/681,873
  6. Step 6: Final answer
    x = 3,022,620.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.