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Finding the Third Proportional to 1,467,147 and 3,214,230

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Solution

The third proportional to 1,467,147 and 3,214,230 is: 7,041,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,147 : 3,214,230 = 3,214,230 : x
  2. Step 2: Convert to fraction form
    1,467,147/3,214,230 = 3,214,230/x
  3. Step 3: Cross multiply
    1,467,147x = 3,214,230 × 3,214,230
  4. Step 4: Simplify right side
    1,467,147x = 10,331,274,492,900
  5. Step 5: Solve for x
    x = 10,331,274,492,900/1,467,147
  6. Step 6: Final answer
    x = 7,041,744.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.