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Finding the Third Proportional to 3,832,198 and 5,328,309

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Solution

The third proportional to 3,832,198 and 5,328,309 is: 7,408,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,198 : 5,328,309 = 5,328,309 : x
  2. Step 2: Convert to fraction form
    3,832,198/5,328,309 = 5,328,309/x
  3. Step 3: Cross multiply
    3,832,198x = 5,328,309 × 5,328,309
  4. Step 4: Simplify right side
    3,832,198x = 28,390,876,799,481
  5. Step 5: Solve for x
    x = 28,390,876,799,481/3,832,198
  6. Step 6: Final answer
    x = 7,408,509.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.