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Finding the Third Proportional to 465,676 and 992,408

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Solution

The third proportional to 465,676 and 992,408 is: 2,114,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,676 : 992,408 = 992,408 : x
  2. Step 2: Convert to fraction form
    465,676/992,408 = 992,408/x
  3. Step 3: Cross multiply
    465,676x = 992,408 × 992,408
  4. Step 4: Simplify right side
    465,676x = 984,873,638,464
  5. Step 5: Solve for x
    x = 984,873,638,464/465,676
  6. Step 6: Final answer
    x = 2,114,933.21

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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.