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Finding the Third Proportional to 822,105 and 1,229,805

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Solution

The third proportional to 822,105 and 1,229,805 is: 1,839,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,105 : 1,229,805 = 1,229,805 : x
  2. Step 2: Convert to fraction form
    822,105/1,229,805 = 1,229,805/x
  3. Step 3: Cross multiply
    822,105x = 1,229,805 × 1,229,805
  4. Step 4: Simplify right side
    822,105x = 1,512,420,338,025
  5. Step 5: Solve for x
    x = 1,512,420,338,025/822,105
  6. Step 6: Final answer
    x = 1,839,692.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.