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Finding the Third Proportional to 2,291,628.50 and 5,040,865.75

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Solution

The third proportional to 2,291,628.50 and 5,040,865.75 is: 11,088,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,628.50 : 5,040,865.75 = 5,040,865.75 : x
  2. Step 2: Convert to fraction form
    2,291,628.50/5,040,865.75 = 5,040,865.75/x
  3. Step 3: Cross multiply
    2,291,628.50x = 5,040,865.75 × 5,040,865.75
  4. Step 4: Simplify right side
    2,291,628.50x = 25,410,327,509,523.06
  5. Step 5: Solve for x
    x = 25,410,327,509,523.06/2,291,628.50
  6. Step 6: Final answer
    x = 11,088,327.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.