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Finding the Third Proportional to 682,469 and 1,476,861

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Solution

The third proportional to 682,469 and 1,476,861 is: 3,195,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,469 : 1,476,861 = 1,476,861 : x
  2. Step 2: Convert to fraction form
    682,469/1,476,861 = 1,476,861/x
  3. Step 3: Cross multiply
    682,469x = 1,476,861 × 1,476,861
  4. Step 4: Simplify right side
    682,469x = 2,181,118,413,321
  5. Step 5: Solve for x
    x = 2,181,118,413,321/682,469
  6. Step 6: Final answer
    x = 3,195,923.06

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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.