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Finding the Third Proportional to 816,982 and 1,795,234

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Solution

The third proportional to 816,982 and 1,795,234 is: 3,944,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,982 : 1,795,234 = 1,795,234 : x
  2. Step 2: Convert to fraction form
    816,982/1,795,234 = 1,795,234/x
  3. Step 3: Cross multiply
    816,982x = 1,795,234 × 1,795,234
  4. Step 4: Simplify right side
    816,982x = 3,222,865,114,756
  5. Step 5: Solve for x
    x = 3,222,865,114,756/816,982
  6. Step 6: Final answer
    x = 3,944,842.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.