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Finding the Third Proportional to 1,284,816 and 2,766,960

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Solution

The third proportional to 1,284,816 and 2,766,960 is: 5,958,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,816 : 2,766,960 = 2,766,960 : x
  2. Step 2: Convert to fraction form
    1,284,816/2,766,960 = 2,766,960/x
  3. Step 3: Cross multiply
    1,284,816x = 2,766,960 × 2,766,960
  4. Step 4: Simplify right side
    1,284,816x = 7,656,067,641,600
  5. Step 5: Solve for x
    x = 7,656,067,641,600/1,284,816
  6. Step 6: Final answer
    x = 5,958,882.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.