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Finding the Third Proportional to 746,667 and 1,755,126

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Solution

The third proportional to 746,667 and 1,755,126 is: 4,125,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,667 : 1,755,126 = 1,755,126 : x
  2. Step 2: Convert to fraction form
    746,667/1,755,126 = 1,755,126/x
  3. Step 3: Cross multiply
    746,667x = 1,755,126 × 1,755,126
  4. Step 4: Simplify right side
    746,667x = 3,080,467,275,876
  5. Step 5: Solve for x
    x = 3,080,467,275,876/746,667
  6. Step 6: Final answer
    x = 4,125,623.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.