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Finding the Third Proportional to 836,199 and 1,834,794

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Solution

The third proportional to 836,199 and 1,834,794 is: 4,025,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,199 : 1,834,794 = 1,834,794 : x
  2. Step 2: Convert to fraction form
    836,199/1,834,794 = 1,834,794/x
  3. Step 3: Cross multiply
    836,199x = 1,834,794 × 1,834,794
  4. Step 4: Simplify right side
    836,199x = 3,366,469,022,436
  5. Step 5: Solve for x
    x = 3,366,469,022,436/836,199
  6. Step 6: Final answer
    x = 4,025,918.50

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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.