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Finding the Third Proportional to 2,185,328 and 3,428,144

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Solution

The third proportional to 2,185,328 and 3,428,144 is: 5,377,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,328 : 3,428,144 = 3,428,144 : x
  2. Step 2: Convert to fraction form
    2,185,328/3,428,144 = 3,428,144/x
  3. Step 3: Cross multiply
    2,185,328x = 3,428,144 × 3,428,144
  4. Step 4: Simplify right side
    2,185,328x = 11,752,171,284,736
  5. Step 5: Solve for x
    x = 11,752,171,284,736/2,185,328
  6. Step 6: Final answer
    x = 5,377,760.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.