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Finding the Third Proportional to 1,361,103.75 and 2,089,242

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Solution

The third proportional to 1,361,103.75 and 2,089,242 is: 3,206,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,103.75 : 2,089,242 = 2,089,242 : x
  2. Step 2: Convert to fraction form
    1,361,103.75/2,089,242 = 2,089,242/x
  3. Step 3: Cross multiply
    1,361,103.75x = 2,089,242 × 2,089,242
  4. Step 4: Simplify right side
    1,361,103.75x = 4,364,932,134,564
  5. Step 5: Solve for x
    x = 4,364,932,134,564/1,361,103.75
  6. Step 6: Final answer
    x = 3,206,906.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.