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Finding the Third Proportional to 820,583 and 1,204,249

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Solution

The third proportional to 820,583 and 1,204,249 is: 1,767,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,583 : 1,204,249 = 1,204,249 : x
  2. Step 2: Convert to fraction form
    820,583/1,204,249 = 1,204,249/x
  3. Step 3: Cross multiply
    820,583x = 1,204,249 × 1,204,249
  4. Step 4: Simplify right side
    820,583x = 1,450,215,654,001
  5. Step 5: Solve for x
    x = 1,450,215,654,001/820,583
  6. Step 6: Final answer
    x = 1,767,299.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.