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Finding the Third Proportional to 834,022 and 1,380,435

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Solution

The third proportional to 834,022 and 1,380,435 is: 2,284,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,022 : 1,380,435 = 1,380,435 : x
  2. Step 2: Convert to fraction form
    834,022/1,380,435 = 1,380,435/x
  3. Step 3: Cross multiply
    834,022x = 1,380,435 × 1,380,435
  4. Step 4: Simplify right side
    834,022x = 1,905,600,789,225
  5. Step 5: Solve for x
    x = 1,905,600,789,225/834,022
  6. Step 6: Final answer
    x = 2,284,832.76

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.