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Finding the Third Proportional to 431,568 and 948,186

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Solution

The third proportional to 431,568 and 948,186 is: 2,083,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568 : 948,186 = 948,186 : x
  2. Step 2: Convert to fraction form
    431,568/948,186 = 948,186/x
  3. Step 3: Cross multiply
    431,568x = 948,186 × 948,186
  4. Step 4: Simplify right side
    431,568x = 899,056,690,596
  5. Step 5: Solve for x
    x = 899,056,690,596/431,568
  6. Step 6: Final answer
    x = 2,083,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.