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Finding the Third Proportional to 2,409,184 and 5,238,256

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Solution

The third proportional to 2,409,184 and 5,238,256 is: 11,389,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,184 : 5,238,256 = 5,238,256 : x
  2. Step 2: Convert to fraction form
    2,409,184/5,238,256 = 5,238,256/x
  3. Step 3: Cross multiply
    2,409,184x = 5,238,256 × 5,238,256
  4. Step 4: Simplify right side
    2,409,184x = 27,439,325,921,536
  5. Step 5: Solve for x
    x = 27,439,325,921,536/2,409,184
  6. Step 6: Final answer
    x = 11,389,468.77

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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.