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Finding the Third Proportional to 600,600 and 1,305,040

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Solution

The third proportional to 600,600 and 1,305,040 is: 2,835,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,600 : 1,305,040 = 1,305,040 : x
  2. Step 2: Convert to fraction form
    600,600/1,305,040 = 1,305,040/x
  3. Step 3: Cross multiply
    600,600x = 1,305,040 × 1,305,040
  4. Step 4: Simplify right side
    600,600x = 1,703,129,401,600
  5. Step 5: Solve for x
    x = 1,703,129,401,600/600,600
  6. Step 6: Final answer
    x = 2,835,713.29

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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.