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Finding the Third Proportional to 823,791 and 1,773,983

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Solution

The third proportional to 823,791 and 1,773,983 is: 3,820,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,791 : 1,773,983 = 1,773,983 : x
  2. Step 2: Convert to fraction form
    823,791/1,773,983 = 1,773,983/x
  3. Step 3: Cross multiply
    823,791x = 1,773,983 × 1,773,983
  4. Step 4: Simplify right side
    823,791x = 3,147,015,684,289
  5. Step 5: Solve for x
    x = 3,147,015,684,289/823,791
  6. Step 6: Final answer
    x = 3,820,162.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.