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Finding the Third Proportional to 1,022,048 and 2,150,032

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Solution

The third proportional to 1,022,048 and 2,150,032 is: 4,522,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,048 : 2,150,032 = 2,150,032 : x
  2. Step 2: Convert to fraction form
    1,022,048/2,150,032 = 2,150,032/x
  3. Step 3: Cross multiply
    1,022,048x = 2,150,032 × 2,150,032
  4. Step 4: Simplify right side
    1,022,048x = 4,622,637,601,024
  5. Step 5: Solve for x
    x = 4,622,637,601,024/1,022,048
  6. Step 6: Final answer
    x = 4,522,916.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.