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Finding the Third Proportional to 741,538 and 1,594,856

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Solution

The third proportional to 741,538 and 1,594,856 is: 3,430,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,538 : 1,594,856 = 1,594,856 : x
  2. Step 2: Convert to fraction form
    741,538/1,594,856 = 1,594,856/x
  3. Step 3: Cross multiply
    741,538x = 1,594,856 × 1,594,856
  4. Step 4: Simplify right side
    741,538x = 2,543,565,660,736
  5. Step 5: Solve for x
    x = 2,543,565,660,736/741,538
  6. Step 6: Final answer
    x = 3,430,121.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.