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Finding the Third Proportional to 966,832 and 1,359,096

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Solution

The third proportional to 966,832 and 1,359,096 is: 1,910,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,832 : 1,359,096 = 1,359,096 : x
  2. Step 2: Convert to fraction form
    966,832/1,359,096 = 1,359,096/x
  3. Step 3: Cross multiply
    966,832x = 1,359,096 × 1,359,096
  4. Step 4: Simplify right side
    966,832x = 1,847,141,937,216
  5. Step 5: Solve for x
    x = 1,847,141,937,216/966,832
  6. Step 6: Final answer
    x = 1,910,509.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.