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Finding the Third Proportional to 558,606 and 1,214,412

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Solution

The third proportional to 558,606 and 1,214,412 is: 2,640,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,606 : 1,214,412 = 1,214,412 : x
  2. Step 2: Convert to fraction form
    558,606/1,214,412 = 1,214,412/x
  3. Step 3: Cross multiply
    558,606x = 1,214,412 × 1,214,412
  4. Step 4: Simplify right side
    558,606x = 1,474,796,505,744
  5. Step 5: Solve for x
    x = 1,474,796,505,744/558,606
  6. Step 6: Final answer
    x = 2,640,137.24

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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.