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Finding the Third Proportional to 2,410,024 and 5,193,584

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Solution

The third proportional to 2,410,024 and 5,193,584 is: 11,192,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,024 : 5,193,584 = 5,193,584 : x
  2. Step 2: Convert to fraction form
    2,410,024/5,193,584 = 5,193,584/x
  3. Step 3: Cross multiply
    2,410,024x = 5,193,584 × 5,193,584
  4. Step 4: Simplify right side
    2,410,024x = 26,973,314,765,056
  5. Step 5: Solve for x
    x = 26,973,314,765,056/2,410,024
  6. Step 6: Final answer
    x = 11,192,135.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.