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Finding the Third Proportional to 383,616 and 835,872

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Solution

The third proportional to 383,616 and 835,872 is: 1,821,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,616 : 835,872 = 835,872 : x
  2. Step 2: Convert to fraction form
    383,616/835,872 = 835,872/x
  3. Step 3: Cross multiply
    383,616x = 835,872 × 835,872
  4. Step 4: Simplify right side
    383,616x = 698,682,000,384
  5. Step 5: Solve for x
    x = 698,682,000,384/383,616
  6. Step 6: Final answer
    x = 1,821,305.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.