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Finding the Third Proportional to 1,302,966 and 1,993,198

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Solution

The third proportional to 1,302,966 and 1,993,198 is: 3,049,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,966 : 1,993,198 = 1,993,198 : x
  2. Step 2: Convert to fraction form
    1,302,966/1,993,198 = 1,993,198/x
  3. Step 3: Cross multiply
    1,302,966x = 1,993,198 × 1,993,198
  4. Step 4: Simplify right side
    1,302,966x = 3,972,838,267,204
  5. Step 5: Solve for x
    x = 3,972,838,267,204/1,302,966
  6. Step 6: Final answer
    x = 3,049,072.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.