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Finding the Third Proportional to 3,840,400 and 8,296,928

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Solution

The third proportional to 3,840,400 and 8,296,928 is: 17,924,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,400 : 8,296,928 = 8,296,928 : x
  2. Step 2: Convert to fraction form
    3,840,400/8,296,928 = 8,296,928/x
  3. Step 3: Cross multiply
    3,840,400x = 8,296,928 × 8,296,928
  4. Step 4: Simplify right side
    3,840,400x = 68,839,014,237,184
  5. Step 5: Solve for x
    x = 68,839,014,237,184/3,840,400
  6. Step 6: Final answer
    x = 17,924,959.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.