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Finding the Third Proportional to 2,171,529 and 4,771,305

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Solution

The third proportional to 2,171,529 and 4,771,305 is: 10,483,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,529 : 4,771,305 = 4,771,305 : x
  2. Step 2: Convert to fraction form
    2,171,529/4,771,305 = 4,771,305/x
  3. Step 3: Cross multiply
    2,171,529x = 4,771,305 × 4,771,305
  4. Step 4: Simplify right side
    2,171,529x = 22,765,351,403,025
  5. Step 5: Solve for x
    x = 22,765,351,403,025/2,171,529
  6. Step 6: Final answer
    x = 10,483,558.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.