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Finding the Third Proportional to 961,099 and 2,114,049

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Solution

The third proportional to 961,099 and 2,114,049 is: 4,650,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,099 : 2,114,049 = 2,114,049 : x
  2. Step 2: Convert to fraction form
    961,099/2,114,049 = 2,114,049/x
  3. Step 3: Cross multiply
    961,099x = 2,114,049 × 2,114,049
  4. Step 4: Simplify right side
    961,099x = 4,469,203,174,401
  5. Step 5: Solve for x
    x = 4,469,203,174,401/961,099
  6. Step 6: Final answer
    x = 4,650,096.58

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Why These Related Problems?

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