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Finding the Third Proportional to 1,008,214 and 2,215,201

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Solution

The third proportional to 1,008,214 and 2,215,201 is: 4,867,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,214 : 2,215,201 = 2,215,201 : x
  2. Step 2: Convert to fraction form
    1,008,214/2,215,201 = 2,215,201/x
  3. Step 3: Cross multiply
    1,008,214x = 2,215,201 × 2,215,201
  4. Step 4: Simplify right side
    1,008,214x = 4,907,115,470,401
  5. Step 5: Solve for x
    x = 4,907,115,470,401/1,008,214
  6. Step 6: Final answer
    x = 4,867,136.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.