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Finding the Third Proportional to 394,998 and 849,939

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Solution

The third proportional to 394,998 and 849,939 is: 1,828,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,998 : 849,939 = 849,939 : x
  2. Step 2: Convert to fraction form
    394,998/849,939 = 849,939/x
  3. Step 3: Cross multiply
    394,998x = 849,939 × 849,939
  4. Step 4: Simplify right side
    394,998x = 722,396,303,721
  5. Step 5: Solve for x
    x = 722,396,303,721/394,998
  6. Step 6: Final answer
    x = 1,828,860.66

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Why These Related Problems?

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