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Finding the Third Proportional to 2,251,608 and 4,595,016

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Solution

The third proportional to 2,251,608 and 4,595,016 is: 9,377,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,608 : 4,595,016 = 4,595,016 : x
  2. Step 2: Convert to fraction form
    2,251,608/4,595,016 = 4,595,016/x
  3. Step 3: Cross multiply
    2,251,608x = 4,595,016 × 4,595,016
  4. Step 4: Simplify right side
    2,251,608x = 21,114,172,040,256
  5. Step 5: Solve for x
    x = 21,114,172,040,256/2,251,608
  6. Step 6: Final answer
    x = 9,377,374.77

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Why These Related Problems?

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