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Finding the Third Proportional to 682,832 and 1,470,272

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Solution

The third proportional to 682,832 and 1,470,272 is: 3,165,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,832 : 1,470,272 = 1,470,272 : x
  2. Step 2: Convert to fraction form
    682,832/1,470,272 = 1,470,272/x
  3. Step 3: Cross multiply
    682,832x = 1,470,272 × 1,470,272
  4. Step 4: Simplify right side
    682,832x = 2,161,699,753,984
  5. Step 5: Solve for x
    x = 2,161,699,753,984/682,832
  6. Step 6: Final answer
    x = 3,165,785.66

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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.