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Finding the Third Proportional to 1,206,869 and 1,822,605

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Solution

The third proportional to 1,206,869 and 1,822,605 is: 2,752,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,869 : 1,822,605 = 1,822,605 : x
  2. Step 2: Convert to fraction form
    1,206,869/1,822,605 = 1,822,605/x
  3. Step 3: Cross multiply
    1,206,869x = 1,822,605 × 1,822,605
  4. Step 4: Simplify right side
    1,206,869x = 3,321,888,986,025
  5. Step 5: Solve for x
    x = 3,321,888,986,025/1,206,869
  6. Step 6: Final answer
    x = 2,752,485.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.