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Finding the Third Proportional to 617,966 and 827,682

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Solution

The third proportional to 617,966 and 827,682 is: 1,108,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,966 : 827,682 = 827,682 : x
  2. Step 2: Convert to fraction form
    617,966/827,682 = 827,682/x
  3. Step 3: Cross multiply
    617,966x = 827,682 × 827,682
  4. Step 4: Simplify right side
    617,966x = 685,057,493,124
  5. Step 5: Solve for x
    x = 685,057,493,124/617,966
  6. Step 6: Final answer
    x = 1,108,568.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.