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Finding the Third Proportional to 1,322,790.75 and 1,933,142.63

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Solution

The third proportional to 1,322,790.75 and 1,933,142.63 is: 2,825,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,790.75 : 1,933,142.63 = 1,933,142.63 : x
  2. Step 2: Convert to fraction form
    1,322,790.75/1,933,142.63 = 1,933,142.63/x
  3. Step 3: Cross multiply
    1,322,790.75x = 1,933,142.63 × 1,933,142.63
  4. Step 4: Simplify right side
    1,322,790.75x = 3,737,040,408,591.89
  5. Step 5: Solve for x
    x = 3,737,040,408,591.89/1,322,790.75
  6. Step 6: Final answer
    x = 2,825,118.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.