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Finding the Third Proportional to 998,686 and 1,413,118

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Solution

The third proportional to 998,686 and 1,413,118 is: 1,999,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,686 : 1,413,118 = 1,413,118 : x
  2. Step 2: Convert to fraction form
    998,686/1,413,118 = 1,413,118/x
  3. Step 3: Cross multiply
    998,686x = 1,413,118 × 1,413,118
  4. Step 4: Simplify right side
    998,686x = 1,996,902,481,924
  5. Step 5: Solve for x
    x = 1,996,902,481,924/998,686
  6. Step 6: Final answer
    x = 1,999,529.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.