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Finding the Third Proportional to 2,183,144 and 4,474,384

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Solution

The third proportional to 2,183,144 and 4,474,384 is: 9,170,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,144 : 4,474,384 = 4,474,384 : x
  2. Step 2: Convert to fraction form
    2,183,144/4,474,384 = 4,474,384/x
  3. Step 3: Cross multiply
    2,183,144x = 4,474,384 × 4,474,384
  4. Step 4: Simplify right side
    2,183,144x = 20,020,112,179,456
  5. Step 5: Solve for x
    x = 20,020,112,179,456/2,183,144
  6. Step 6: Final answer
    x = 9,170,312.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.