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Finding the Third Proportional to 451,608 and 991,786

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Solution

The third proportional to 451,608 and 991,786 is: 2,178,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,608 : 991,786 = 991,786 : x
  2. Step 2: Convert to fraction form
    451,608/991,786 = 991,786/x
  3. Step 3: Cross multiply
    451,608x = 991,786 × 991,786
  4. Step 4: Simplify right side
    451,608x = 983,639,469,796
  5. Step 5: Solve for x
    x = 983,639,469,796/451,608
  6. Step 6: Final answer
    x = 2,178,082.47

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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.