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Finding the Third Proportional to 2,171,532 and 4,771,311

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Solution

The third proportional to 2,171,532 and 4,771,311 is: 10,483,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,532 : 4,771,311 = 4,771,311 : x
  2. Step 2: Convert to fraction form
    2,171,532/4,771,311 = 4,771,311/x
  3. Step 3: Cross multiply
    2,171,532x = 4,771,311 × 4,771,311
  4. Step 4: Simplify right side
    2,171,532x = 22,765,408,658,721
  5. Step 5: Solve for x
    x = 22,765,408,658,721/2,171,532
  6. Step 6: Final answer
    x = 10,483,570.43

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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.