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Finding the Third Proportional to 496,199 and 1,086,958

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Solution

The third proportional to 496,199 and 1,086,958 is: 2,381,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,199 : 1,086,958 = 1,086,958 : x
  2. Step 2: Convert to fraction form
    496,199/1,086,958 = 1,086,958/x
  3. Step 3: Cross multiply
    496,199x = 1,086,958 × 1,086,958
  4. Step 4: Simplify right side
    496,199x = 1,181,477,693,764
  5. Step 5: Solve for x
    x = 1,181,477,693,764/496,199
  6. Step 6: Final answer
    x = 2,381,056.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.