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Finding the Third Proportional to 739,400 and 1,594,144

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Solution

The third proportional to 739,400 and 1,594,144 is: 3,436,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,400 : 1,594,144 = 1,594,144 : x
  2. Step 2: Convert to fraction form
    739,400/1,594,144 = 1,594,144/x
  3. Step 3: Cross multiply
    739,400x = 1,594,144 × 1,594,144
  4. Step 4: Simplify right side
    739,400x = 2,541,295,092,736
  5. Step 5: Solve for x
    x = 2,541,295,092,736/739,400
  6. Step 6: Final answer
    x = 3,436,969.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.