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Finding the Third Proportional to 600,002 and 1,267,450

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Solution

The third proportional to 600,002 and 1,267,450 is: 2,677,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,002 : 1,267,450 = 1,267,450 : x
  2. Step 2: Convert to fraction form
    600,002/1,267,450 = 1,267,450/x
  3. Step 3: Cross multiply
    600,002x = 1,267,450 × 1,267,450
  4. Step 4: Simplify right side
    600,002x = 1,606,429,502,500
  5. Step 5: Solve for x
    x = 1,606,429,502,500/600,002
  6. Step 6: Final answer
    x = 2,677,373.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.