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Finding the Third Proportional to 2,832,022.27 and 4,194,933.47

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Solution

The third proportional to 2,832,022.27 and 4,194,933.47 is: 6,213,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,022.27 : 4,194,933.47 = 4,194,933.47 : x
  2. Step 2: Convert to fraction form
    2,832,022.27/4,194,933.47 = 4,194,933.47/x
  3. Step 3: Cross multiply
    2,832,022.27x = 4,194,933.47 × 4,194,933.47
  4. Step 4: Simplify right side
    2,832,022.27x = 17,597,466,807,238.91
  5. Step 5: Solve for x
    x = 17,597,466,807,238.91/2,832,022.27
  6. Step 6: Final answer
    x = 6,213,745.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.