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Finding the Third Proportional to 3,677,840 and 5,740,274

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Solution

The third proportional to 3,677,840 and 5,740,274 is: 8,959,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,840 : 5,740,274 = 5,740,274 : x
  2. Step 2: Convert to fraction form
    3,677,840/5,740,274 = 5,740,274/x
  3. Step 3: Cross multiply
    3,677,840x = 5,740,274 × 5,740,274
  4. Step 4: Simplify right side
    3,677,840x = 32,950,745,595,076
  5. Step 5: Solve for x
    x = 32,950,745,595,076/3,677,840
  6. Step 6: Final answer
    x = 8,959,265.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.