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Finding the Third Proportional to 381,084.75 and 833,019.19

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Solution

The third proportional to 381,084.75 and 833,019.19 is: 1,820,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,084.75 : 833,019.19 = 833,019.19 : x
  2. Step 2: Convert to fraction form
    381,084.75/833,019.19 = 833,019.19/x
  3. Step 3: Cross multiply
    381,084.75x = 833,019.19 × 833,019.19
  4. Step 4: Simplify right side
    381,084.75x = 693,920,966,743.16
  5. Step 5: Solve for x
    x = 693,920,966,743.16/381,084.75
  6. Step 6: Final answer
    x = 1,820,909.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.