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Finding the Third Proportional to 966,244 and 1,420,949

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Solution

The third proportional to 966,244 and 1,420,949 is: 2,089,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,244 : 1,420,949 = 1,420,949 : x
  2. Step 2: Convert to fraction form
    966,244/1,420,949 = 1,420,949/x
  3. Step 3: Cross multiply
    966,244x = 1,420,949 × 1,420,949
  4. Step 4: Simplify right side
    966,244x = 2,019,096,060,601
  5. Step 5: Solve for x
    x = 2,019,096,060,601/966,244
  6. Step 6: Final answer
    x = 2,089,633.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.