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Finding the Third Proportional to 2,082,384 and 4,222,728

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Solution

The third proportional to 2,082,384 and 4,222,728 is: 8,562,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,384 : 4,222,728 = 4,222,728 : x
  2. Step 2: Convert to fraction form
    2,082,384/4,222,728 = 4,222,728/x
  3. Step 3: Cross multiply
    2,082,384x = 4,222,728 × 4,222,728
  4. Step 4: Simplify right side
    2,082,384x = 17,831,431,761,984
  5. Step 5: Solve for x
    x = 17,831,431,761,984/2,082,384
  6. Step 6: Final answer
    x = 8,562,989.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.