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Finding the Third Proportional to 446,986 and 951,586

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Solution

The third proportional to 446,986 and 951,586 is: 2,025,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,986 : 951,586 = 951,586 : x
  2. Step 2: Convert to fraction form
    446,986/951,586 = 951,586/x
  3. Step 3: Cross multiply
    446,986x = 951,586 × 951,586
  4. Step 4: Simplify right side
    446,986x = 905,515,915,396
  5. Step 5: Solve for x
    x = 905,515,915,396/446,986
  6. Step 6: Final answer
    x = 2,025,826.12

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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.