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Finding the Third Proportional to 2,171,474 and 4,771,240

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Solution

The third proportional to 2,171,474 and 4,771,240 is: 10,483,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,474 : 4,771,240 = 4,771,240 : x
  2. Step 2: Convert to fraction form
    2,171,474/4,771,240 = 4,771,240/x
  3. Step 3: Cross multiply
    2,171,474x = 4,771,240 × 4,771,240
  4. Step 4: Simplify right side
    2,171,474x = 22,764,731,137,600
  5. Step 5: Solve for x
    x = 22,764,731,137,600/2,171,474
  6. Step 6: Final answer
    x = 10,483,538.43

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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.