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Finding the Third Proportional to 426,519 and 901,962

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Solution

The third proportional to 426,519 and 901,962 is: 1,907,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,519 : 901,962 = 901,962 : x
  2. Step 2: Convert to fraction form
    426,519/901,962 = 901,962/x
  3. Step 3: Cross multiply
    426,519x = 901,962 × 901,962
  4. Step 4: Simplify right side
    426,519x = 813,535,449,444
  5. Step 5: Solve for x
    x = 813,535,449,444/426,519
  6. Step 6: Final answer
    x = 1,907,383.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.