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Finding the Third Proportional to 1,013,067 and 2,161,728

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Solution

The third proportional to 1,013,067 and 2,161,728 is: 4,612,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,067 : 2,161,728 = 2,161,728 : x
  2. Step 2: Convert to fraction form
    1,013,067/2,161,728 = 2,161,728/x
  3. Step 3: Cross multiply
    1,013,067x = 2,161,728 × 2,161,728
  4. Step 4: Simplify right side
    1,013,067x = 4,673,067,945,984
  5. Step 5: Solve for x
    x = 4,673,067,945,984/1,013,067
  6. Step 6: Final answer
    x = 4,612,792.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.