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Finding the Third Proportional to 383,022 and 833,172

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Solution

The third proportional to 383,022 and 833,172 is: 1,812,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,022 : 833,172 = 833,172 : x
  2. Step 2: Convert to fraction form
    383,022/833,172 = 833,172/x
  3. Step 3: Cross multiply
    383,022x = 833,172 × 833,172
  4. Step 4: Simplify right side
    383,022x = 694,175,581,584
  5. Step 5: Solve for x
    x = 694,175,581,584/383,022
  6. Step 6: Final answer
    x = 1,812,364.78

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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.