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Finding the Third Proportional to 422,658 and 880,227

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Solution

The third proportional to 422,658 and 880,227 is: 1,833,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,658 : 880,227 = 880,227 : x
  2. Step 2: Convert to fraction form
    422,658/880,227 = 880,227/x
  3. Step 3: Cross multiply
    422,658x = 880,227 × 880,227
  4. Step 4: Simplify right side
    422,658x = 774,799,571,529
  5. Step 5: Solve for x
    x = 774,799,571,529/422,658
  6. Step 6: Final answer
    x = 1,833,159.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.