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Finding the Third Proportional to 696,067 and 1,519,966

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Solution

The third proportional to 696,067 and 1,519,966 is: 3,319,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,067 : 1,519,966 = 1,519,966 : x
  2. Step 2: Convert to fraction form
    696,067/1,519,966 = 1,519,966/x
  3. Step 3: Cross multiply
    696,067x = 1,519,966 × 1,519,966
  4. Step 4: Simplify right side
    696,067x = 2,310,296,641,156
  5. Step 5: Solve for x
    x = 2,310,296,641,156/696,067
  6. Step 6: Final answer
    x = 3,319,072.22

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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.