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Finding the Third Proportional to 2,318,971 and 3,467,795

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Solution

The third proportional to 2,318,971 and 3,467,795 is: 5,185,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,971 : 3,467,795 = 3,467,795 : x
  2. Step 2: Convert to fraction form
    2,318,971/3,467,795 = 3,467,795/x
  3. Step 3: Cross multiply
    2,318,971x = 3,467,795 × 3,467,795
  4. Step 4: Simplify right side
    2,318,971x = 12,025,602,162,025
  5. Step 5: Solve for x
    x = 12,025,602,162,025/2,318,971
  6. Step 6: Final answer
    x = 5,185,749.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.