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Finding the Third Proportional to 1,067,333.91 and 2,305,087.17

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Solution

The third proportional to 1,067,333.91 and 2,305,087.17 is: 4,978,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,333.91 : 2,305,087.17 = 2,305,087.17 : x
  2. Step 2: Convert to fraction form
    1,067,333.91/2,305,087.17 = 2,305,087.17/x
  3. Step 3: Cross multiply
    1,067,333.91x = 2,305,087.17 × 2,305,087.17
  4. Step 4: Simplify right side
    1,067,333.91x = 5,313,426,869,942.69
  5. Step 5: Solve for x
    x = 5,313,426,869,942.69/1,067,333.91
  6. Step 6: Final answer
    x = 4,978,223.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.