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Finding the Third Proportional to 1,013,529 and 2,203,470

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Solution

The third proportional to 1,013,529 and 2,203,470 is: 4,790,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,529 : 2,203,470 = 2,203,470 : x
  2. Step 2: Convert to fraction form
    1,013,529/2,203,470 = 2,203,470/x
  3. Step 3: Cross multiply
    1,013,529x = 2,203,470 × 2,203,470
  4. Step 4: Simplify right side
    1,013,529x = 4,855,280,040,900
  5. Step 5: Solve for x
    x = 4,855,280,040,900/1,013,529
  6. Step 6: Final answer
    x = 4,790,469.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.