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Finding the Third Proportional to 2,821,198 and 6,658,686

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Solution

The third proportional to 2,821,198 and 6,658,686 is: 15,716,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,198 : 6,658,686 = 6,658,686 : x
  2. Step 2: Convert to fraction form
    2,821,198/6,658,686 = 6,658,686/x
  3. Step 3: Cross multiply
    2,821,198x = 6,658,686 × 6,658,686
  4. Step 4: Simplify right side
    2,821,198x = 44,338,099,246,596
  5. Step 5: Solve for x
    x = 44,338,099,246,596/2,821,198
  6. Step 6: Final answer
    x = 15,716,053.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.