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Finding the Third Proportional to 558,612 and 1,214,424

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Solution

The third proportional to 558,612 and 1,214,424 is: 2,640,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,612 : 1,214,424 = 1,214,424 : x
  2. Step 2: Convert to fraction form
    558,612/1,214,424 = 1,214,424/x
  3. Step 3: Cross multiply
    558,612x = 1,214,424 × 1,214,424
  4. Step 4: Simplify right side
    558,612x = 1,474,825,651,776
  5. Step 5: Solve for x
    x = 1,474,825,651,776/558,612
  6. Step 6: Final answer
    x = 2,640,161.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.