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Finding the Third Proportional to 965,777 and 2,099,474

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Solution

The third proportional to 965,777 and 2,099,474 is: 4,563,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,777 : 2,099,474 = 2,099,474 : x
  2. Step 2: Convert to fraction form
    965,777/2,099,474 = 2,099,474/x
  3. Step 3: Cross multiply
    965,777x = 2,099,474 × 2,099,474
  4. Step 4: Simplify right side
    965,777x = 4,407,791,076,676
  5. Step 5: Solve for x
    x = 4,407,791,076,676/965,777
  6. Step 6: Final answer
    x = 4,563,984.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.