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Finding the Third Proportional to 467,670 and 1,010,067

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Solution

The third proportional to 467,670 and 1,010,067 is: 2,181,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,670 : 1,010,067 = 1,010,067 : x
  2. Step 2: Convert to fraction form
    467,670/1,010,067 = 1,010,067/x
  3. Step 3: Cross multiply
    467,670x = 1,010,067 × 1,010,067
  4. Step 4: Simplify right side
    467,670x = 1,020,235,344,489
  5. Step 5: Solve for x
    x = 1,020,235,344,489/467,670
  6. Step 6: Final answer
    x = 2,181,528.31

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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.