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Finding the Third Proportional to 998,703 and 1,413,141

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Solution

The third proportional to 998,703 and 1,413,141 is: 1,999,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,703 : 1,413,141 = 1,413,141 : x
  2. Step 2: Convert to fraction form
    998,703/1,413,141 = 1,413,141/x
  3. Step 3: Cross multiply
    998,703x = 1,413,141 × 1,413,141
  4. Step 4: Simplify right side
    998,703x = 1,996,967,485,881
  5. Step 5: Solve for x
    x = 1,996,967,485,881/998,703
  6. Step 6: Final answer
    x = 1,999,560.92

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