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Finding the Third Proportional to 382,611 and 835,163

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Solution

The third proportional to 382,611 and 835,163 is: 1,822,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,611 : 835,163 = 835,163 : x
  2. Step 2: Convert to fraction form
    382,611/835,163 = 835,163/x
  3. Step 3: Cross multiply
    382,611x = 835,163 × 835,163
  4. Step 4: Simplify right side
    382,611x = 697,497,236,569
  5. Step 5: Solve for x
    x = 697,497,236,569/382,611
  6. Step 6: Final answer
    x = 1,822,993.16

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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.