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Finding the Third Proportional to 558,626 and 1,205,812

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Solution

The third proportional to 558,626 and 1,205,812 is: 2,602,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,626 : 1,205,812 = 1,205,812 : x
  2. Step 2: Convert to fraction form
    558,626/1,205,812 = 1,205,812/x
  3. Step 3: Cross multiply
    558,626x = 1,205,812 × 1,205,812
  4. Step 4: Simplify right side
    558,626x = 1,453,982,579,344
  5. Step 5: Solve for x
    x = 1,453,982,579,344/558,626
  6. Step 6: Final answer
    x = 2,602,783.58

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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.