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Finding the Third Proportional to 663,844 and 1,433,096

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Solution

The third proportional to 663,844 and 1,433,096 is: 3,093,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,844 : 1,433,096 = 1,433,096 : x
  2. Step 2: Convert to fraction form
    663,844/1,433,096 = 1,433,096/x
  3. Step 3: Cross multiply
    663,844x = 1,433,096 × 1,433,096
  4. Step 4: Simplify right side
    663,844x = 2,053,764,145,216
  5. Step 5: Solve for x
    x = 2,053,764,145,216/663,844
  6. Step 6: Final answer
    x = 3,093,745.13

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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.