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Finding the Third Proportional to 816,276.38 and 1,906,138.13

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Solution

The third proportional to 816,276.38 and 1,906,138.13 is: 4,451,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,276.38 : 1,906,138.13 = 1,906,138.13 : x
  2. Step 2: Convert to fraction form
    816,276.38/1,906,138.13 = 1,906,138.13/x
  3. Step 3: Cross multiply
    816,276.38x = 1,906,138.13 × 1,906,138.13
  4. Step 4: Simplify right side
    816,276.38x = 3,633,362,551,578.52
  5. Step 5: Solve for x
    x = 3,633,362,551,578.52/816,276.38
  6. Step 6: Final answer
    x = 4,451,142.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.