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Finding the Third Proportional to 2,467,620 and 5,944,596

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Solution

The third proportional to 2,467,620 and 5,944,596 is: 14,320,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,620 : 5,944,596 = 5,944,596 : x
  2. Step 2: Convert to fraction form
    2,467,620/5,944,596 = 5,944,596/x
  3. Step 3: Cross multiply
    2,467,620x = 5,944,596 × 5,944,596
  4. Step 4: Simplify right side
    2,467,620x = 35,338,221,603,216
  5. Step 5: Solve for x
    x = 35,338,221,603,216/2,467,620
  6. Step 6: Final answer
    x = 14,320,771.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.