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Finding the Third Proportional to 381,124 and 833,336

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Solution

The third proportional to 381,124 and 833,336 is: 1,822,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,124 : 833,336 = 833,336 : x
  2. Step 2: Convert to fraction form
    381,124/833,336 = 833,336/x
  3. Step 3: Cross multiply
    381,124x = 833,336 × 833,336
  4. Step 4: Simplify right side
    381,124x = 694,448,888,896
  5. Step 5: Solve for x
    x = 694,448,888,896/381,124
  6. Step 6: Final answer
    x = 1,822,107.47

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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.