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Finding the Third Proportional to 427,059 and 906,795

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Solution

The third proportional to 427,059 and 906,795 is: 1,925,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,059 : 906,795 = 906,795 : x
  2. Step 2: Convert to fraction form
    427,059/906,795 = 906,795/x
  3. Step 3: Cross multiply
    427,059x = 906,795 × 906,795
  4. Step 4: Simplify right side
    427,059x = 822,277,172,025
  5. Step 5: Solve for x
    x = 822,277,172,025/427,059
  6. Step 6: Final answer
    x = 1,925,441.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.