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Finding the Third Proportional to 2,171,538 and 4,771,322

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Solution

The third proportional to 2,171,538 and 4,771,322 is: 10,483,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,538 : 4,771,322 = 4,771,322 : x
  2. Step 2: Convert to fraction form
    2,171,538/4,771,322 = 4,771,322/x
  3. Step 3: Cross multiply
    2,171,538x = 4,771,322 × 4,771,322
  4. Step 4: Simplify right side
    2,171,538x = 22,765,513,627,684
  5. Step 5: Solve for x
    x = 22,765,513,627,684/2,171,538
  6. Step 6: Final answer
    x = 10,483,589.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.