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Finding the Third Proportional to 475,711 and 998,131

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Solution

The third proportional to 475,711 and 998,131 is: 2,094,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,711 : 998,131 = 998,131 : x
  2. Step 2: Convert to fraction form
    475,711/998,131 = 998,131/x
  3. Step 3: Cross multiply
    475,711x = 998,131 × 998,131
  4. Step 4: Simplify right side
    475,711x = 996,265,493,161
  5. Step 5: Solve for x
    x = 996,265,493,161/475,711
  6. Step 6: Final answer
    x = 2,094,266.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.