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Finding the Third Proportional to 558,786 and 1,206,852

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Solution

The third proportional to 558,786 and 1,206,852 is: 2,606,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,786 : 1,206,852 = 1,206,852 : x
  2. Step 2: Convert to fraction form
    558,786/1,206,852 = 1,206,852/x
  3. Step 3: Cross multiply
    558,786x = 1,206,852 × 1,206,852
  4. Step 4: Simplify right side
    558,786x = 1,456,491,749,904
  5. Step 5: Solve for x
    x = 1,456,491,749,904/558,786
  6. Step 6: Final answer
    x = 2,606,528.71

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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.