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Finding the Third Proportional to 998,696 and 1,413,125

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Solution

The third proportional to 998,696 and 1,413,125 is: 1,999,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,696 : 1,413,125 = 1,413,125 : x
  2. Step 2: Convert to fraction form
    998,696/1,413,125 = 1,413,125/x
  3. Step 3: Cross multiply
    998,696x = 1,413,125 × 1,413,125
  4. Step 4: Simplify right side
    998,696x = 1,996,922,265,625
  5. Step 5: Solve for x
    x = 1,996,922,265,625/998,696
  6. Step 6: Final answer
    x = 1,999,529.65

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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.