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Finding the Third Proportional to 467,827 and 1,010,232

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Solution

The third proportional to 467,827 and 1,010,232 is: 2,181,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,827 : 1,010,232 = 1,010,232 : x
  2. Step 2: Convert to fraction form
    467,827/1,010,232 = 1,010,232/x
  3. Step 3: Cross multiply
    467,827x = 1,010,232 × 1,010,232
  4. Step 4: Simplify right side
    467,827x = 1,020,568,693,824
  5. Step 5: Solve for x
    x = 1,020,568,693,824/467,827
  6. Step 6: Final answer
    x = 2,181,508.75

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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.