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Finding the Third Proportional to 816,353 and 1,227,644

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Solution

The third proportional to 816,353 and 1,227,644 is: 1,846,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,353 : 1,227,644 = 1,227,644 : x
  2. Step 2: Convert to fraction form
    816,353/1,227,644 = 1,227,644/x
  3. Step 3: Cross multiply
    816,353x = 1,227,644 × 1,227,644
  4. Step 4: Simplify right side
    816,353x = 1,507,109,790,736
  5. Step 5: Solve for x
    x = 1,507,109,790,736/816,353
  6. Step 6: Final answer
    x = 1,846,149.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.