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Finding the Third Proportional to 2,420,438 and 5,214,322

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Solution

The third proportional to 2,420,438 and 5,214,322 is: 11,233,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420,438 : 5,214,322 = 5,214,322 : x
  2. Step 2: Convert to fraction form
    2,420,438/5,214,322 = 5,214,322/x
  3. Step 3: Cross multiply
    2,420,438x = 5,214,322 × 5,214,322
  4. Step 4: Simplify right side
    2,420,438x = 27,189,153,919,684
  5. Step 5: Solve for x
    x = 27,189,153,919,684/2,420,438
  6. Step 6: Final answer
    x = 11,233,154.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.