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Finding the Third Proportional to 682,999 and 1,498,859

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Solution

The third proportional to 682,999 and 1,498,859 is: 3,289,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,999 : 1,498,859 = 1,498,859 : x
  2. Step 2: Convert to fraction form
    682,999/1,498,859 = 1,498,859/x
  3. Step 3: Cross multiply
    682,999x = 1,498,859 × 1,498,859
  4. Step 4: Simplify right side
    682,999x = 2,246,578,301,881
  5. Step 5: Solve for x
    x = 2,246,578,301,881/682,999
  6. Step 6: Final answer
    x = 3,289,284.91

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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.