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Finding the Third Proportional to 558,782 and 1,206,844

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Solution

The third proportional to 558,782 and 1,206,844 is: 2,606,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,782 : 1,206,844 = 1,206,844 : x
  2. Step 2: Convert to fraction form
    558,782/1,206,844 = 1,206,844/x
  3. Step 3: Cross multiply
    558,782x = 1,206,844 × 1,206,844
  4. Step 4: Simplify right side
    558,782x = 1,456,472,440,336
  5. Step 5: Solve for x
    x = 1,456,472,440,336/558,782
  6. Step 6: Final answer
    x = 2,606,512.81

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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.