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Finding the Third Proportional to 4,193,399 and 5,738,322

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Solution

The third proportional to 4,193,399 and 5,738,322 is: 7,852,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,399 : 5,738,322 = 5,738,322 : x
  2. Step 2: Convert to fraction form
    4,193,399/5,738,322 = 5,738,322/x
  3. Step 3: Cross multiply
    4,193,399x = 5,738,322 × 5,738,322
  4. Step 4: Simplify right side
    4,193,399x = 32,928,339,375,684
  5. Step 5: Solve for x
    x = 32,928,339,375,684/4,193,399
  6. Step 6: Final answer
    x = 7,852,422.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.