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Finding the Third Proportional to 683,832 and 1,582,948

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Solution

The third proportional to 683,832 and 1,582,948 is: 3,664,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,832 : 1,582,948 = 1,582,948 : x
  2. Step 2: Convert to fraction form
    683,832/1,582,948 = 1,582,948/x
  3. Step 3: Cross multiply
    683,832x = 1,582,948 × 1,582,948
  4. Step 4: Simplify right side
    683,832x = 2,505,724,370,704
  5. Step 5: Solve for x
    x = 2,505,724,370,704/683,832
  6. Step 6: Final answer
    x = 3,664,239.71

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.