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Finding the Third Proportional to 906,035 and 1,269,966

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Solution

The third proportional to 906,035 and 1,269,966 is: 1,780,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,035 : 1,269,966 = 1,269,966 : x
  2. Step 2: Convert to fraction form
    906,035/1,269,966 = 1,269,966/x
  3. Step 3: Cross multiply
    906,035x = 1,269,966 × 1,269,966
  4. Step 4: Simplify right side
    906,035x = 1,612,813,641,156
  5. Step 5: Solve for x
    x = 1,612,813,641,156/906,035
  6. Step 6: Final answer
    x = 1,780,078.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.