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Finding the Third Proportional to 961,086 and 2,114,020

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Solution

The third proportional to 961,086 and 2,114,020 is: 4,650,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,086 : 2,114,020 = 2,114,020 : x
  2. Step 2: Convert to fraction form
    961,086/2,114,020 = 2,114,020/x
  3. Step 3: Cross multiply
    961,086x = 2,114,020 × 2,114,020
  4. Step 4: Simplify right side
    961,086x = 4,469,080,560,400
  5. Step 5: Solve for x
    x = 4,469,080,560,400/961,086
  6. Step 6: Final answer
    x = 4,650,031.90

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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.