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Finding the Third Proportional to 431,193 and 916,818

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Solution

The third proportional to 431,193 and 916,818 is: 1,949,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,193 : 916,818 = 916,818 : x
  2. Step 2: Convert to fraction form
    431,193/916,818 = 916,818/x
  3. Step 3: Cross multiply
    431,193x = 916,818 × 916,818
  4. Step 4: Simplify right side
    431,193x = 840,555,245,124
  5. Step 5: Solve for x
    x = 840,555,245,124/431,193
  6. Step 6: Final answer
    x = 1,949,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.