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Finding the Third Proportional to 804,717 and 1,747,831

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Solution

The third proportional to 804,717 and 1,747,831 is: 3,796,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,717 : 1,747,831 = 1,747,831 : x
  2. Step 2: Convert to fraction form
    804,717/1,747,831 = 1,747,831/x
  3. Step 3: Cross multiply
    804,717x = 1,747,831 × 1,747,831
  4. Step 4: Simplify right side
    804,717x = 3,054,913,204,561
  5. Step 5: Solve for x
    x = 3,054,913,204,561/804,717
  6. Step 6: Final answer
    x = 3,796,257.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.