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Finding the Third Proportional to 1,738,968.75 and 3,786,831

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Solution

The third proportional to 1,738,968.75 and 3,786,831 is: 8,246,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,968.75 : 3,786,831 = 3,786,831 : x
  2. Step 2: Convert to fraction form
    1,738,968.75/3,786,831 = 3,786,831/x
  3. Step 3: Cross multiply
    1,738,968.75x = 3,786,831 × 3,786,831
  4. Step 4: Simplify right side
    1,738,968.75x = 14,340,089,022,561
  5. Step 5: Solve for x
    x = 14,340,089,022,561/1,738,968.75
  6. Step 6: Final answer
    x = 8,246,317.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.