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Finding the Third Proportional to 978,876 and 2,010,456

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Solution

The third proportional to 978,876 and 2,010,456 is: 4,129,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,876 : 2,010,456 = 2,010,456 : x
  2. Step 2: Convert to fraction form
    978,876/2,010,456 = 2,010,456/x
  3. Step 3: Cross multiply
    978,876x = 2,010,456 × 2,010,456
  4. Step 4: Simplify right side
    978,876x = 4,041,933,327,936
  5. Step 5: Solve for x
    x = 4,041,933,327,936/978,876
  6. Step 6: Final answer
    x = 4,129,157.65

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.