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Finding the Third Proportional to 558,781 and 1,206,842

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Solution

The third proportional to 558,781 and 1,206,842 is: 2,606,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,781 : 1,206,842 = 1,206,842 : x
  2. Step 2: Convert to fraction form
    558,781/1,206,842 = 1,206,842/x
  3. Step 3: Cross multiply
    558,781x = 1,206,842 × 1,206,842
  4. Step 4: Simplify right side
    558,781x = 1,456,467,612,964
  5. Step 5: Solve for x
    x = 1,456,467,612,964/558,781
  6. Step 6: Final answer
    x = 2,606,508.83

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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.