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Finding the Third Proportional to 2,184,786 and 4,474,524

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Solution

The third proportional to 2,184,786 and 4,474,524 is: 9,163,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,786 : 4,474,524 = 4,474,524 : x
  2. Step 2: Convert to fraction form
    2,184,786/4,474,524 = 4,474,524/x
  3. Step 3: Cross multiply
    2,184,786x = 4,474,524 × 4,474,524
  4. Step 4: Simplify right side
    2,184,786x = 20,021,365,026,576
  5. Step 5: Solve for x
    x = 20,021,365,026,576/2,184,786
  6. Step 6: Final answer
    x = 9,163,993.65

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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.