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Finding the Third Proportional to 2,089,716 and 4,267,986

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Solution

The third proportional to 2,089,716 and 4,267,986 is: 8,716,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,716 : 4,267,986 = 4,267,986 : x
  2. Step 2: Convert to fraction form
    2,089,716/4,267,986 = 4,267,986/x
  3. Step 3: Cross multiply
    2,089,716x = 4,267,986 × 4,267,986
  4. Step 4: Simplify right side
    2,089,716x = 18,215,704,496,196
  5. Step 5: Solve for x
    x = 18,215,704,496,196/2,089,716
  6. Step 6: Final answer
    x = 8,716,832.57

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.