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Finding the Third Proportional to 644,328 and 1,394,847

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Solution

The third proportional to 644,328 and 1,394,847 is: 3,019,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,328 : 1,394,847 = 1,394,847 : x
  2. Step 2: Convert to fraction form
    644,328/1,394,847 = 1,394,847/x
  3. Step 3: Cross multiply
    644,328x = 1,394,847 × 1,394,847
  4. Step 4: Simplify right side
    644,328x = 1,945,598,153,409
  5. Step 5: Solve for x
    x = 1,945,598,153,409/644,328
  6. Step 6: Final answer
    x = 3,019,577.22

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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.