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Finding the Third Proportional to 1,781,019 and 4,199,977

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Solution

The third proportional to 1,781,019 and 4,199,977 is: 9,904,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,019 : 4,199,977 = 4,199,977 : x
  2. Step 2: Convert to fraction form
    1,781,019/4,199,977 = 4,199,977/x
  3. Step 3: Cross multiply
    1,781,019x = 4,199,977 × 4,199,977
  4. Step 4: Simplify right side
    1,781,019x = 17,639,806,800,529
  5. Step 5: Solve for x
    x = 17,639,806,800,529/1,781,019
  6. Step 6: Final answer
    x = 9,904,333.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.