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Finding the Third Proportional to 1,092,536.44 and 2,228,443.31

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Solution

The third proportional to 1,092,536.44 and 2,228,443.31 is: 4,545,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,536.44 : 2,228,443.31 = 2,228,443.31 : x
  2. Step 2: Convert to fraction form
    1,092,536.44/2,228,443.31 = 2,228,443.31/x
  3. Step 3: Cross multiply
    1,092,536.44x = 2,228,443.31 × 2,228,443.31
  4. Step 4: Simplify right side
    1,092,536.44x = 4,965,959,597,025.97
  5. Step 5: Solve for x
    x = 4,965,959,597,025.97/1,092,536.44
  6. Step 6: Final answer
    x = 4,545,349.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.