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Finding the Third Proportional to 467,676 and 1,010,084

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Solution

The third proportional to 467,676 and 1,010,084 is: 2,181,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,676 : 1,010,084 = 1,010,084 : x
  2. Step 2: Convert to fraction form
    467,676/1,010,084 = 1,010,084/x
  3. Step 3: Cross multiply
    467,676x = 1,010,084 × 1,010,084
  4. Step 4: Simplify right side
    467,676x = 1,020,269,687,056
  5. Step 5: Solve for x
    x = 1,020,269,687,056/467,676
  6. Step 6: Final answer
    x = 2,181,573.75

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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.