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Finding the Third Proportional to 1,268,489.25 and 2,641,630.50

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Solution

The third proportional to 1,268,489.25 and 2,641,630.50 is: 5,501,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,489.25 : 2,641,630.50 = 2,641,630.50 : x
  2. Step 2: Convert to fraction form
    1,268,489.25/2,641,630.50 = 2,641,630.50/x
  3. Step 3: Cross multiply
    1,268,489.25x = 2,641,630.50 × 2,641,630.50
  4. Step 4: Simplify right side
    1,268,489.25x = 6,978,211,698,530.25
  5. Step 5: Solve for x
    x = 6,978,211,698,530.25/1,268,489.25
  6. Step 6: Final answer
    x = 5,501,198.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.