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Finding the Third Proportional to 2,527,724 and 3,876,069

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Solution

The third proportional to 2,527,724 and 3,876,069 is: 5,943,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,724 : 3,876,069 = 3,876,069 : x
  2. Step 2: Convert to fraction form
    2,527,724/3,876,069 = 3,876,069/x
  3. Step 3: Cross multiply
    2,527,724x = 3,876,069 × 3,876,069
  4. Step 4: Simplify right side
    2,527,724x = 15,023,910,892,761
  5. Step 5: Solve for x
    x = 15,023,910,892,761/2,527,724
  6. Step 6: Final answer
    x = 5,943,651.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.