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Finding the Third Proportional to 896,400 and 1,928,736

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Solution

The third proportional to 896,400 and 1,928,736 is: 4,149,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,400 : 1,928,736 = 1,928,736 : x
  2. Step 2: Convert to fraction form
    896,400/1,928,736 = 1,928,736/x
  3. Step 3: Cross multiply
    896,400x = 1,928,736 × 1,928,736
  4. Step 4: Simplify right side
    896,400x = 3,720,022,557,696
  5. Step 5: Solve for x
    x = 3,720,022,557,696/896,400
  6. Step 6: Final answer
    x = 4,149,958.23

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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.