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Finding the Third Proportional to 2,036,217 and 4,021,035

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Solution

The third proportional to 2,036,217 and 4,021,035 is: 7,940,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,217 : 4,021,035 = 4,021,035 : x
  2. Step 2: Convert to fraction form
    2,036,217/4,021,035 = 4,021,035/x
  3. Step 3: Cross multiply
    2,036,217x = 4,021,035 × 4,021,035
  4. Step 4: Simplify right side
    2,036,217x = 16,168,722,471,225
  5. Step 5: Solve for x
    x = 16,168,722,471,225/2,036,217
  6. Step 6: Final answer
    x = 7,940,569.43

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.