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Finding the Third Proportional to 3,782,108 and 5,677,032

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Solution

The third proportional to 3,782,108 and 5,677,032 is: 8,521,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,108 : 5,677,032 = 5,677,032 : x
  2. Step 2: Convert to fraction form
    3,782,108/5,677,032 = 5,677,032/x
  3. Step 3: Cross multiply
    3,782,108x = 5,677,032 × 5,677,032
  4. Step 4: Simplify right side
    3,782,108x = 32,228,692,329,024
  5. Step 5: Solve for x
    x = 32,228,692,329,024/3,782,108
  6. Step 6: Final answer
    x = 8,521,356.96

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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.