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Finding the Third Proportional to 853,869 and 1,834,367

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Solution

The third proportional to 853,869 and 1,834,367 is: 3,940,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,869 : 1,834,367 = 1,834,367 : x
  2. Step 2: Convert to fraction form
    853,869/1,834,367 = 1,834,367/x
  3. Step 3: Cross multiply
    853,869x = 1,834,367 × 1,834,367
  4. Step 4: Simplify right side
    853,869x = 3,364,902,290,689
  5. Step 5: Solve for x
    x = 3,364,902,290,689/853,869
  6. Step 6: Final answer
    x = 3,940,771.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.