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Finding the Third Proportional to 819,900 and 1,797,749

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Solution

The third proportional to 819,900 and 1,797,749 is: 3,941,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,900 : 1,797,749 = 1,797,749 : x
  2. Step 2: Convert to fraction form
    819,900/1,797,749 = 1,797,749/x
  3. Step 3: Cross multiply
    819,900x = 1,797,749 × 1,797,749
  4. Step 4: Simplify right side
    819,900x = 3,231,901,467,001
  5. Step 5: Solve for x
    x = 3,231,901,467,001/819,900
  6. Step 6: Final answer
    x = 3,941,823.96

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