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Finding the Third Proportional to 1,077,144 and 2,270,928

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Solution

The third proportional to 1,077,144 and 2,270,928 is: 4,787,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,144 : 2,270,928 = 2,270,928 : x
  2. Step 2: Convert to fraction form
    1,077,144/2,270,928 = 2,270,928/x
  3. Step 3: Cross multiply
    1,077,144x = 2,270,928 × 2,270,928
  4. Step 4: Simplify right side
    1,077,144x = 5,157,113,981,184
  5. Step 5: Solve for x
    x = 5,157,113,981,184/1,077,144
  6. Step 6: Final answer
    x = 4,787,766.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.