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Finding the Third Proportional to 804,714 and 1,747,824

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Solution

The third proportional to 804,714 and 1,747,824 is: 3,796,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,714 : 1,747,824 = 1,747,824 : x
  2. Step 2: Convert to fraction form
    804,714/1,747,824 = 1,747,824/x
  3. Step 3: Cross multiply
    804,714x = 1,747,824 × 1,747,824
  4. Step 4: Simplify right side
    804,714x = 3,054,888,734,976
  5. Step 5: Solve for x
    x = 3,054,888,734,976/804,714
  6. Step 6: Final answer
    x = 3,796,241.57

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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.