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Finding the Third Proportional to 959,638 and 1,434,171

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Solution

The third proportional to 959,638 and 1,434,171 is: 2,143,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,638 : 1,434,171 = 1,434,171 : x
  2. Step 2: Convert to fraction form
    959,638/1,434,171 = 1,434,171/x
  3. Step 3: Cross multiply
    959,638x = 1,434,171 × 1,434,171
  4. Step 4: Simplify right side
    959,638x = 2,056,846,457,241
  5. Step 5: Solve for x
    x = 2,056,846,457,241/959,638
  6. Step 6: Final answer
    x = 2,143,356.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.