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Finding the Third Proportional to 682,997 and 1,498,855

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Solution

The third proportional to 682,997 and 1,498,855 is: 3,289,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,997 : 1,498,855 = 1,498,855 : x
  2. Step 2: Convert to fraction form
    682,997/1,498,855 = 1,498,855/x
  3. Step 3: Cross multiply
    682,997x = 1,498,855 × 1,498,855
  4. Step 4: Simplify right side
    682,997x = 2,246,566,311,025
  5. Step 5: Solve for x
    x = 2,246,566,311,025/682,997
  6. Step 6: Final answer
    x = 3,289,276.98

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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.