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Finding the Third Proportional to 819,171 and 1,795,806

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Solution

The third proportional to 819,171 and 1,795,806 is: 3,936,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,171 : 1,795,806 = 1,795,806 : x
  2. Step 2: Convert to fraction form
    819,171/1,795,806 = 1,795,806/x
  3. Step 3: Cross multiply
    819,171x = 1,795,806 × 1,795,806
  4. Step 4: Simplify right side
    819,171x = 3,224,919,189,636
  5. Step 5: Solve for x
    x = 3,224,919,189,636/819,171
  6. Step 6: Final answer
    x = 3,936,808.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.