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Finding the Third Proportional to 1,017,675 and 1,382,085

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Solution

The third proportional to 1,017,675 and 1,382,085 is: 1,876,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,675 : 1,382,085 = 1,382,085 : x
  2. Step 2: Convert to fraction form
    1,017,675/1,382,085 = 1,382,085/x
  3. Step 3: Cross multiply
    1,017,675x = 1,382,085 × 1,382,085
  4. Step 4: Simplify right side
    1,017,675x = 1,910,158,947,225
  5. Step 5: Solve for x
    x = 1,910,158,947,225/1,017,675
  6. Step 6: Final answer
    x = 1,876,983.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.