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Finding the Third Proportional to 2,089,744.50 and 4,268,049

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Solution

The third proportional to 2,089,744.50 and 4,268,049 is: 8,716,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,744.50 : 4,268,049 = 4,268,049 : x
  2. Step 2: Convert to fraction form
    2,089,744.50/4,268,049 = 4,268,049/x
  3. Step 3: Cross multiply
    2,089,744.50x = 4,268,049 × 4,268,049
  4. Step 4: Simplify right side
    2,089,744.50x = 18,216,242,266,401
  5. Step 5: Solve for x
    x = 18,216,242,266,401/2,089,744.50
  6. Step 6: Final answer
    x = 8,716,971.03

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Why These Related Problems?

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