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Finding the Third Proportional to 2,205,686 and 4,846,329

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Solution

The third proportional to 2,205,686 and 4,846,329 is: 10,648,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,686 : 4,846,329 = 4,846,329 : x
  2. Step 2: Convert to fraction form
    2,205,686/4,846,329 = 4,846,329/x
  3. Step 3: Cross multiply
    2,205,686x = 4,846,329 × 4,846,329
  4. Step 4: Simplify right side
    2,205,686x = 23,486,904,776,241
  5. Step 5: Solve for x
    x = 23,486,904,776,241/2,205,686
  6. Step 6: Final answer
    x = 10,648,344.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.