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Finding the Third Proportional to 404,697 and 874,234

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Solution

The third proportional to 404,697 and 874,234 is: 1,888,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,697 : 874,234 = 874,234 : x
  2. Step 2: Convert to fraction form
    404,697/874,234 = 874,234/x
  3. Step 3: Cross multiply
    404,697x = 874,234 × 874,234
  4. Step 4: Simplify right side
    404,697x = 764,285,086,756
  5. Step 5: Solve for x
    x = 764,285,086,756/404,697
  6. Step 6: Final answer
    x = 1,888,536.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.