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Finding the Third Proportional to 457,698 and 996,764

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Solution

The third proportional to 457,698 and 996,764 is: 2,170,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,698 : 996,764 = 996,764 : x
  2. Step 2: Convert to fraction form
    457,698/996,764 = 996,764/x
  3. Step 3: Cross multiply
    457,698x = 996,764 × 996,764
  4. Step 4: Simplify right side
    457,698x = 993,538,471,696
  5. Step 5: Solve for x
    x = 993,538,471,696/457,698
  6. Step 6: Final answer
    x = 2,170,729.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.