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Finding the Third Proportional to 376,588 and 827,806

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Solution

The third proportional to 376,588 and 827,806 is: 1,819,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,588 : 827,806 = 827,806 : x
  2. Step 2: Convert to fraction form
    376,588/827,806 = 827,806/x
  3. Step 3: Cross multiply
    376,588x = 827,806 × 827,806
  4. Step 4: Simplify right side
    376,588x = 685,262,773,636
  5. Step 5: Solve for x
    x = 685,262,773,636/376,588
  6. Step 6: Final answer
    x = 1,819,661.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.