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Finding the Third Proportional to 381,122 and 833,332

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Solution

The third proportional to 381,122 and 833,332 is: 1,822,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,122 : 833,332 = 833,332 : x
  2. Step 2: Convert to fraction form
    381,122/833,332 = 833,332/x
  3. Step 3: Cross multiply
    381,122x = 833,332 × 833,332
  4. Step 4: Simplify right side
    381,122x = 694,442,222,224
  5. Step 5: Solve for x
    x = 694,442,222,224/381,122
  6. Step 6: Final answer
    x = 1,822,099.54

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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.