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Finding the Third Proportional to 1,416,163 and 2,135,999

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Solution

The third proportional to 1,416,163 and 2,135,999 is: 3,221,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,163 : 2,135,999 = 2,135,999 : x
  2. Step 2: Convert to fraction form
    1,416,163/2,135,999 = 2,135,999/x
  3. Step 3: Cross multiply
    1,416,163x = 2,135,999 × 2,135,999
  4. Step 4: Simplify right side
    1,416,163x = 4,562,491,728,001
  5. Step 5: Solve for x
    x = 4,562,491,728,001/1,416,163
  6. Step 6: Final answer
    x = 3,221,727.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.