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Finding the Third Proportional to 444,269 and 959,457

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Solution

The third proportional to 444,269 and 959,457 is: 2,072,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,269 : 959,457 = 959,457 : x
  2. Step 2: Convert to fraction form
    444,269/959,457 = 959,457/x
  3. Step 3: Cross multiply
    444,269x = 959,457 × 959,457
  4. Step 4: Simplify right side
    444,269x = 920,557,734,849
  5. Step 5: Solve for x
    x = 920,557,734,849/444,269
  6. Step 6: Final answer
    x = 2,072,072.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.