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Finding the Third Proportional to 854,463 and 1,844,025

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Solution

The third proportional to 854,463 and 1,844,025 is: 3,979,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,463 : 1,844,025 = 1,844,025 : x
  2. Step 2: Convert to fraction form
    854,463/1,844,025 = 1,844,025/x
  3. Step 3: Cross multiply
    854,463x = 1,844,025 × 1,844,025
  4. Step 4: Simplify right side
    854,463x = 3,400,428,200,625
  5. Step 5: Solve for x
    x = 3,400,428,200,625/854,463
  6. Step 6: Final answer
    x = 3,979,608.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.