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Finding the Third Proportional to 2,562,184 and 5,930,832

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Solution

The third proportional to 2,562,184 and 5,930,832 is: 13,728,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562,184 : 5,930,832 = 5,930,832 : x
  2. Step 2: Convert to fraction form
    2,562,184/5,930,832 = 5,930,832/x
  3. Step 3: Cross multiply
    2,562,184x = 5,930,832 × 5,930,832
  4. Step 4: Simplify right side
    2,562,184x = 35,174,768,212,224
  5. Step 5: Solve for x
    x = 35,174,768,212,224/2,562,184
  6. Step 6: Final answer
    x = 13,728,431.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.