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Finding the Third Proportional to 976,727 and 2,093,625

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Solution

The third proportional to 976,727 and 2,093,625 is: 4,487,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,727 : 2,093,625 = 2,093,625 : x
  2. Step 2: Convert to fraction form
    976,727/2,093,625 = 2,093,625/x
  3. Step 3: Cross multiply
    976,727x = 2,093,625 × 2,093,625
  4. Step 4: Simplify right side
    976,727x = 4,383,265,640,625
  5. Step 5: Solve for x
    x = 4,383,265,640,625/976,727
  6. Step 6: Final answer
    x = 4,487,708.07

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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.