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Finding the Third Proportional to 461,158 and 1,003,084

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Solution

The third proportional to 461,158 and 1,003,084 is: 2,181,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,158 : 1,003,084 = 1,003,084 : x
  2. Step 2: Convert to fraction form
    461,158/1,003,084 = 1,003,084/x
  3. Step 3: Cross multiply
    461,158x = 1,003,084 × 1,003,084
  4. Step 4: Simplify right side
    461,158x = 1,006,177,511,056
  5. Step 5: Solve for x
    x = 1,006,177,511,056/461,158
  6. Step 6: Final answer
    x = 2,181,849.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.