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Finding the Third Proportional to 467,831 and 1,010,240

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Solution

The third proportional to 467,831 and 1,010,240 is: 2,181,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,831 : 1,010,240 = 1,010,240 : x
  2. Step 2: Convert to fraction form
    467,831/1,010,240 = 1,010,240/x
  3. Step 3: Cross multiply
    467,831x = 1,010,240 × 1,010,240
  4. Step 4: Simplify right side
    467,831x = 1,020,584,857,600
  5. Step 5: Solve for x
    x = 1,020,584,857,600/467,831
  6. Step 6: Final answer
    x = 2,181,524.65

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