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Finding the Third Proportional to 452,067 and 967,051

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Solution

The third proportional to 452,067 and 967,051 is: 2,068,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,067 : 967,051 = 967,051 : x
  2. Step 2: Convert to fraction form
    452,067/967,051 = 967,051/x
  3. Step 3: Cross multiply
    452,067x = 967,051 × 967,051
  4. Step 4: Simplify right side
    452,067x = 935,187,636,601
  5. Step 5: Solve for x
    x = 935,187,636,601/452,067
  6. Step 6: Final answer
    x = 2,068,692.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.