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Finding the Third Proportional to 466,662 and 997,293

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Solution

The third proportional to 466,662 and 997,293 is: 2,131,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,662 : 997,293 = 997,293 : x
  2. Step 2: Convert to fraction form
    466,662/997,293 = 997,293/x
  3. Step 3: Cross multiply
    466,662x = 997,293 × 997,293
  4. Step 4: Simplify right side
    466,662x = 994,593,327,849
  5. Step 5: Solve for x
    x = 994,593,327,849/466,662
  6. Step 6: Final answer
    x = 2,131,292.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.