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Finding the Third Proportional to 822,066 and 1,229,757

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Solution

The third proportional to 822,066 and 1,229,757 is: 1,839,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,066 : 1,229,757 = 1,229,757 : x
  2. Step 2: Convert to fraction form
    822,066/1,229,757 = 1,229,757/x
  3. Step 3: Cross multiply
    822,066x = 1,229,757 × 1,229,757
  4. Step 4: Simplify right side
    822,066x = 1,512,302,279,049
  5. Step 5: Solve for x
    x = 1,512,302,279,049/822,066
  6. Step 6: Final answer
    x = 1,839,636.09

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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.