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Finding the Third Proportional to 813,040.03 and 1,770,832.13

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Solution

The third proportional to 813,040.03 and 1,770,832.13 is: 3,856,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,040.03 : 1,770,832.13 = 1,770,832.13 : x
  2. Step 2: Convert to fraction form
    813,040.03/1,770,832.13 = 1,770,832.13/x
  3. Step 3: Cross multiply
    813,040.03x = 1,770,832.13 × 1,770,832.13
  4. Step 4: Simplify right side
    813,040.03x = 3,135,846,414,932.02
  5. Step 5: Solve for x
    x = 3,135,846,414,932.02/813,040.03
  6. Step 6: Final answer
    x = 3,856,939.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.