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Finding the Third Proportional to 2,085,999 and 4,331,869

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Solution

The third proportional to 2,085,999 and 4,331,869 is: 8,995,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,999 : 4,331,869 = 4,331,869 : x
  2. Step 2: Convert to fraction form
    2,085,999/4,331,869 = 4,331,869/x
  3. Step 3: Cross multiply
    2,085,999x = 4,331,869 × 4,331,869
  4. Step 4: Simplify right side
    2,085,999x = 18,765,089,033,161
  5. Step 5: Solve for x
    x = 18,765,089,033,161/2,085,999
  6. Step 6: Final answer
    x = 8,995,732.52

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.