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Finding the Third Proportional to 557,831 and 886,481

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Solution

The third proportional to 557,831 and 886,481 is: 1,408,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,831 : 886,481 = 886,481 : x
  2. Step 2: Convert to fraction form
    557,831/886,481 = 886,481/x
  3. Step 3: Cross multiply
    557,831x = 886,481 × 886,481
  4. Step 4: Simplify right side
    557,831x = 785,848,563,361
  5. Step 5: Solve for x
    x = 785,848,563,361/557,831
  6. Step 6: Final answer
    x = 1,408,757.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.