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Finding the Third Proportional to 2,563,086 and 5,457,462

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Solution

The third proportional to 2,563,086 and 5,457,462 is: 11,620,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,086 : 5,457,462 = 5,457,462 : x
  2. Step 2: Convert to fraction form
    2,563,086/5,457,462 = 5,457,462/x
  3. Step 3: Cross multiply
    2,563,086x = 5,457,462 × 5,457,462
  4. Step 4: Simplify right side
    2,563,086x = 29,783,891,481,444
  5. Step 5: Solve for x
    x = 29,783,891,481,444/2,563,086
  6. Step 6: Final answer
    x = 11,620,324.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.