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Finding the Third Proportional to 1,338,825 and 2,895,198

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Solution

The third proportional to 1,338,825 and 2,895,198 is: 6,260,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,825 : 2,895,198 = 2,895,198 : x
  2. Step 2: Convert to fraction form
    1,338,825/2,895,198 = 2,895,198/x
  3. Step 3: Cross multiply
    1,338,825x = 2,895,198 × 2,895,198
  4. Step 4: Simplify right side
    1,338,825x = 8,382,171,459,204
  5. Step 5: Solve for x
    x = 8,382,171,459,204/1,338,825
  6. Step 6: Final answer
    x = 6,260,841.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.