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Finding the Third Proportional to 427,655 and 925,891

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Solution

The third proportional to 427,655 and 925,891 is: 2,004,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,655 : 925,891 = 925,891 : x
  2. Step 2: Convert to fraction form
    427,655/925,891 = 925,891/x
  3. Step 3: Cross multiply
    427,655x = 925,891 × 925,891
  4. Step 4: Simplify right side
    427,655x = 857,274,143,881
  5. Step 5: Solve for x
    x = 857,274,143,881/427,655
  6. Step 6: Final answer
    x = 2,004,592.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.