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Finding the Third Proportional to 998,692 and 1,413,119

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Solution

The third proportional to 998,692 and 1,413,119 is: 1,999,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,692 : 1,413,119 = 1,413,119 : x
  2. Step 2: Convert to fraction form
    998,692/1,413,119 = 1,413,119/x
  3. Step 3: Cross multiply
    998,692x = 1,413,119 × 1,413,119
  4. Step 4: Simplify right side
    998,692x = 1,996,905,308,161
  5. Step 5: Solve for x
    x = 1,996,905,308,161/998,692
  6. Step 6: Final answer
    x = 1,999,520.68

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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.