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Finding the Third Proportional to 381,128 and 833,344

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Solution

The third proportional to 381,128 and 833,344 is: 1,822,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,128 : 833,344 = 833,344 : x
  2. Step 2: Convert to fraction form
    381,128/833,344 = 833,344/x
  3. Step 3: Cross multiply
    381,128x = 833,344 × 833,344
  4. Step 4: Simplify right side
    381,128x = 694,462,222,336
  5. Step 5: Solve for x
    x = 694,462,222,336/381,128
  6. Step 6: Final answer
    x = 1,822,123.33

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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.