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Finding the Third Proportional to 1,207,800 and 2,468,016

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Solution

The third proportional to 1,207,800 and 2,468,016 is: 5,043,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,800 : 2,468,016 = 2,468,016 : x
  2. Step 2: Convert to fraction form
    1,207,800/2,468,016 = 2,468,016/x
  3. Step 3: Cross multiply
    1,207,800x = 2,468,016 × 2,468,016
  4. Step 4: Simplify right side
    1,207,800x = 6,091,102,976,256
  5. Step 5: Solve for x
    x = 6,091,102,976,256/1,207,800
  6. Step 6: Final answer
    x = 5,043,138.75

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.