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Finding the Third Proportional to 998,154 and 2,164,458

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Solution

The third proportional to 998,154 and 2,164,458 is: 4,693,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,154 : 2,164,458 = 2,164,458 : x
  2. Step 2: Convert to fraction form
    998,154/2,164,458 = 2,164,458/x
  3. Step 3: Cross multiply
    998,154x = 2,164,458 × 2,164,458
  4. Step 4: Simplify right side
    998,154x = 4,684,878,433,764
  5. Step 5: Solve for x
    x = 4,684,878,433,764/998,154
  6. Step 6: Final answer
    x = 4,693,542.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.