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Finding the Third Proportional to 2,184,268 and 3,419,004

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Solution

The third proportional to 2,184,268 and 3,419,004 is: 5,351,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,268 : 3,419,004 = 3,419,004 : x
  2. Step 2: Convert to fraction form
    2,184,268/3,419,004 = 3,419,004/x
  3. Step 3: Cross multiply
    2,184,268x = 3,419,004 × 3,419,004
  4. Step 4: Simplify right side
    2,184,268x = 11,689,588,352,016
  5. Step 5: Solve for x
    x = 11,689,588,352,016/2,184,268
  6. Step 6: Final answer
    x = 5,351,718.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.