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Finding the Third Proportional to 1,004,848 and 2,184,225

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Solution

The third proportional to 1,004,848 and 2,184,225 is: 4,747,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,848 : 2,184,225 = 2,184,225 : x
  2. Step 2: Convert to fraction form
    1,004,848/2,184,225 = 2,184,225/x
  3. Step 3: Cross multiply
    1,004,848x = 2,184,225 × 2,184,225
  4. Step 4: Simplify right side
    1,004,848x = 4,770,838,850,625
  5. Step 5: Solve for x
    x = 4,770,838,850,625/1,004,848
  6. Step 6: Final answer
    x = 4,747,821.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.