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Finding the Third Proportional to 1,268,296 and 2,641,568

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Solution

The third proportional to 1,268,296 and 2,641,568 is: 5,501,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,296 : 2,641,568 = 2,641,568 : x
  2. Step 2: Convert to fraction form
    1,268,296/2,641,568 = 2,641,568/x
  3. Step 3: Cross multiply
    1,268,296x = 2,641,568 × 2,641,568
  4. Step 4: Simplify right side
    1,268,296x = 6,977,881,498,624
  5. Step 5: Solve for x
    x = 6,977,881,498,624/1,268,296
  6. Step 6: Final answer
    x = 5,501,776.79

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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.