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Finding the Third Proportional to 3,859,870 and 5,677,512

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Solution

The third proportional to 3,859,870 and 5,677,512 is: 8,351,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,870 : 5,677,512 = 5,677,512 : x
  2. Step 2: Convert to fraction form
    3,859,870/5,677,512 = 5,677,512/x
  3. Step 3: Cross multiply
    3,859,870x = 5,677,512 × 5,677,512
  4. Step 4: Simplify right side
    3,859,870x = 32,234,142,510,144
  5. Step 5: Solve for x
    x = 32,234,142,510,144/3,859,870
  6. Step 6: Final answer
    x = 8,351,095.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.