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Finding the Third Proportional to 559,067 and 1,206,653

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Solution

The third proportional to 559,067 and 1,206,653 is: 2,604,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,067 : 1,206,653 = 1,206,653 : x
  2. Step 2: Convert to fraction form
    559,067/1,206,653 = 1,206,653/x
  3. Step 3: Cross multiply
    559,067x = 1,206,653 × 1,206,653
  4. Step 4: Simplify right side
    559,067x = 1,456,011,462,409
  5. Step 5: Solve for x
    x = 1,456,011,462,409/559,067
  6. Step 6: Final answer
    x = 2,604,359.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.