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Finding the Third Proportional to 3,864,006 and 5,677,857

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Solution

The third proportional to 3,864,006 and 5,677,857 is: 8,343,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864,006 : 5,677,857 = 5,677,857 : x
  2. Step 2: Convert to fraction form
    3,864,006/5,677,857 = 5,677,857/x
  3. Step 3: Cross multiply
    3,864,006x = 5,677,857 × 5,677,857
  4. Step 4: Simplify right side
    3,864,006x = 32,238,060,112,449
  5. Step 5: Solve for x
    x = 32,238,060,112,449/3,864,006
  6. Step 6: Final answer
    x = 8,343,170.30

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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.