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Finding the Third Proportional to 3,527,296 and 4,967,233

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Solution

The third proportional to 3,527,296 and 4,967,233 is: 6,994,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,296 : 4,967,233 = 4,967,233 : x
  2. Step 2: Convert to fraction form
    3,527,296/4,967,233 = 4,967,233/x
  3. Step 3: Cross multiply
    3,527,296x = 4,967,233 × 4,967,233
  4. Step 4: Simplify right side
    3,527,296x = 24,673,403,676,289
  5. Step 5: Solve for x
    x = 24,673,403,676,289/3,527,296
  6. Step 6: Final answer
    x = 6,994,990.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.