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Finding the Third Proportional to 2,054,185.31 and 3,205,635.12

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Solution

The third proportional to 2,054,185.31 and 3,205,635.12 is: 5,002,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,185.31 : 3,205,635.12 = 3,205,635.12 : x
  2. Step 2: Convert to fraction form
    2,054,185.31/3,205,635.12 = 3,205,635.12/x
  3. Step 3: Cross multiply
    2,054,185.31x = 3,205,635.12 × 3,205,635.12
  4. Step 4: Simplify right side
    2,054,185.31x = 10,276,096,504,545.72
  5. Step 5: Solve for x
    x = 10,276,096,504,545.72/2,054,185.31
  6. Step 6: Final answer
    x = 5,002,516.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.