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Finding the Third Proportional to 2,159,118 and 4,617,198

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Solution

The third proportional to 2,159,118 and 4,617,198 is: 9,873,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,118 : 4,617,198 = 4,617,198 : x
  2. Step 2: Convert to fraction form
    2,159,118/4,617,198 = 4,617,198/x
  3. Step 3: Cross multiply
    2,159,118x = 4,617,198 × 4,617,198
  4. Step 4: Simplify right side
    2,159,118x = 21,318,517,371,204
  5. Step 5: Solve for x
    x = 21,318,517,371,204/2,159,118
  6. Step 6: Final answer
    x = 9,873,715.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.