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Finding the Third Proportional to 3,832,202 and 5,328,315

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Solution

The third proportional to 3,832,202 and 5,328,315 is: 7,408,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,202 : 5,328,315 = 5,328,315 : x
  2. Step 2: Convert to fraction form
    3,832,202/5,328,315 = 5,328,315/x
  3. Step 3: Cross multiply
    3,832,202x = 5,328,315 × 5,328,315
  4. Step 4: Simplify right side
    3,832,202x = 28,390,940,739,225
  5. Step 5: Solve for x
    x = 28,390,940,739,225/3,832,202
  6. Step 6: Final answer
    x = 7,408,518.85

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Why These Related Problems?

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