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Finding the Third Proportional to 998,766 and 1,523,025

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Solution

The third proportional to 998,766 and 1,523,025 is: 2,322,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,766 : 1,523,025 = 1,523,025 : x
  2. Step 2: Convert to fraction form
    998,766/1,523,025 = 1,523,025/x
  3. Step 3: Cross multiply
    998,766x = 1,523,025 × 1,523,025
  4. Step 4: Simplify right side
    998,766x = 2,319,605,150,625
  5. Step 5: Solve for x
    x = 2,319,605,150,625/998,766
  6. Step 6: Final answer
    x = 2,322,471.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.