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Finding the Third Proportional to 854,464 and 1,844,027

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Solution

The third proportional to 854,464 and 1,844,027 is: 3,979,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,464 : 1,844,027 = 1,844,027 : x
  2. Step 2: Convert to fraction form
    854,464/1,844,027 = 1,844,027/x
  3. Step 3: Cross multiply
    854,464x = 1,844,027 × 1,844,027
  4. Step 4: Simplify right side
    854,464x = 3,400,435,576,729
  5. Step 5: Solve for x
    x = 3,400,435,576,729/854,464
  6. Step 6: Final answer
    x = 3,979,612.45

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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.