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Finding the Third Proportional to 2,105,822 and 3,391,311

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Solution

The third proportional to 2,105,822 and 3,391,311 is: 5,461,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,822 : 3,391,311 = 3,391,311 : x
  2. Step 2: Convert to fraction form
    2,105,822/3,391,311 = 3,391,311/x
  3. Step 3: Cross multiply
    2,105,822x = 3,391,311 × 3,391,311
  4. Step 4: Simplify right side
    2,105,822x = 11,500,990,298,721
  5. Step 5: Solve for x
    x = 11,500,990,298,721/2,105,822
  6. Step 6: Final answer
    x = 5,461,520.63

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.