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Finding the Third Proportional to 834,336 and 1,834,512

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Solution

The third proportional to 834,336 and 1,834,512 is: 4,033,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,336 : 1,834,512 = 1,834,512 : x
  2. Step 2: Convert to fraction form
    834,336/1,834,512 = 1,834,512/x
  3. Step 3: Cross multiply
    834,336x = 1,834,512 × 1,834,512
  4. Step 4: Simplify right side
    834,336x = 3,365,434,278,144
  5. Step 5: Solve for x
    x = 3,365,434,278,144/834,336
  6. Step 6: Final answer
    x = 4,033,667.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.