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Finding the Third Proportional to 2,089,715 and 4,267,984

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Solution

The third proportional to 2,089,715 and 4,267,984 is: 8,716,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,715 : 4,267,984 = 4,267,984 : x
  2. Step 2: Convert to fraction form
    2,089,715/4,267,984 = 4,267,984/x
  3. Step 3: Cross multiply
    2,089,715x = 4,267,984 × 4,267,984
  4. Step 4: Simplify right side
    2,089,715x = 18,215,687,424,256
  5. Step 5: Solve for x
    x = 18,215,687,424,256/2,089,715
  6. Step 6: Final answer
    x = 8,716,828.57

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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.