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Finding the Third Proportional to 976,806 and 2,093,769

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Solution

The third proportional to 976,806 and 2,093,769 is: 4,487,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,806 : 2,093,769 = 2,093,769 : x
  2. Step 2: Convert to fraction form
    976,806/2,093,769 = 2,093,769/x
  3. Step 3: Cross multiply
    976,806x = 2,093,769 × 2,093,769
  4. Step 4: Simplify right side
    976,806x = 4,383,868,625,361
  5. Step 5: Solve for x
    x = 4,383,868,625,361/976,806
  6. Step 6: Final answer
    x = 4,487,962.43

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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.