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Finding the Third Proportional to 773,134.31 and 1,664,243.44

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Solution

The third proportional to 773,134.31 and 1,664,243.44 is: 3,582,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,134.31 : 1,664,243.44 = 1,664,243.44 : x
  2. Step 2: Convert to fraction form
    773,134.31/1,664,243.44 = 1,664,243.44/x
  3. Step 3: Cross multiply
    773,134.31x = 1,664,243.44 × 1,664,243.44
  4. Step 4: Simplify right side
    773,134.31x = 2,769,706,219,261.82
  5. Step 5: Solve for x
    x = 2,769,706,219,261.82/773,134.31
  6. Step 6: Final answer
    x = 3,582,438.62

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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.