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Finding the Third Proportional to 668,408.20 and 1,443,367.48

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Solution

The third proportional to 668,408.20 and 1,443,367.48 is: 3,116,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,408.20 : 1,443,367.48 = 1,443,367.48 : x
  2. Step 2: Convert to fraction form
    668,408.20/1,443,367.48 = 1,443,367.48/x
  3. Step 3: Cross multiply
    668,408.20x = 1,443,367.48 × 1,443,367.48
  4. Step 4: Simplify right side
    668,408.20x = 2,083,309,672,398.40
  5. Step 5: Solve for x
    x = 2,083,309,672,398.40/668,408.20
  6. Step 6: Final answer
    x = 3,116,822.42

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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.