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Finding the Third Proportional to 976,986 and 1,394,523

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Solution

The third proportional to 976,986 and 1,394,523 is: 1,990,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,986 : 1,394,523 = 1,394,523 : x
  2. Step 2: Convert to fraction form
    976,986/1,394,523 = 1,394,523/x
  3. Step 3: Cross multiply
    976,986x = 1,394,523 × 1,394,523
  4. Step 4: Simplify right side
    976,986x = 1,944,694,397,529
  5. Step 5: Solve for x
    x = 1,944,694,397,529/976,986
  6. Step 6: Final answer
    x = 1,990,503.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.