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Finding the Third Proportional to 659,616 and 1,412,512

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Solution

The third proportional to 659,616 and 1,412,512 is: 3,024,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,616 : 1,412,512 = 1,412,512 : x
  2. Step 2: Convert to fraction form
    659,616/1,412,512 = 1,412,512/x
  3. Step 3: Cross multiply
    659,616x = 1,412,512 × 1,412,512
  4. Step 4: Simplify right side
    659,616x = 1,995,190,150,144
  5. Step 5: Solve for x
    x = 1,995,190,150,144/659,616
  6. Step 6: Final answer
    x = 3,024,775.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.