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Finding the Third Proportional to 798,976 and 1,715,456

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Solution

The third proportional to 798,976 and 1,715,456 is: 3,683,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,976 : 1,715,456 = 1,715,456 : x
  2. Step 2: Convert to fraction form
    798,976/1,715,456 = 1,715,456/x
  3. Step 3: Cross multiply
    798,976x = 1,715,456 × 1,715,456
  4. Step 4: Simplify right side
    798,976x = 2,942,789,287,936
  5. Step 5: Solve for x
    x = 2,942,789,287,936/798,976
  6. Step 6: Final answer
    x = 3,683,201.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.