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Finding the Third Proportional to 906,396.75 and 1,226,638.69

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Solution

The third proportional to 906,396.75 and 1,226,638.69 is: 1,660,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,396.75 : 1,226,638.69 = 1,226,638.69 : x
  2. Step 2: Convert to fraction form
    906,396.75/1,226,638.69 = 1,226,638.69/x
  3. Step 3: Cross multiply
    906,396.75x = 1,226,638.69 × 1,226,638.69
  4. Step 4: Simplify right side
    906,396.75x = 1,504,642,469,671.72
  5. Step 5: Solve for x
    x = 1,504,642,469,671.72/906,396.75
  6. Step 6: Final answer
    x = 1,660,026.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.