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Finding the Third Proportional to 697,778.50 and 1,502,474

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Solution

The third proportional to 697,778.50 and 1,502,474 is: 3,235,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,778.50 : 1,502,474 = 1,502,474 : x
  2. Step 2: Convert to fraction form
    697,778.50/1,502,474 = 1,502,474/x
  3. Step 3: Cross multiply
    697,778.50x = 1,502,474 × 1,502,474
  4. Step 4: Simplify right side
    697,778.50x = 2,257,428,120,676
  5. Step 5: Solve for x
    x = 2,257,428,120,676/697,778.50
  6. Step 6: Final answer
    x = 3,235,164.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.