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Finding the Third Proportional to 466,809 and 950,747

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Solution

The third proportional to 466,809 and 950,747 is: 1,936,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,809 : 950,747 = 950,747 : x
  2. Step 2: Convert to fraction form
    466,809/950,747 = 950,747/x
  3. Step 3: Cross multiply
    466,809x = 950,747 × 950,747
  4. Step 4: Simplify right side
    466,809x = 903,919,858,009
  5. Step 5: Solve for x
    x = 903,919,858,009/466,809
  6. Step 6: Final answer
    x = 1,936,380.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.