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Finding the Third Proportional to 422,600 and 880,336

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Solution

The third proportional to 422,600 and 880,336 is: 1,833,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,600 : 880,336 = 880,336 : x
  2. Step 2: Convert to fraction form
    422,600/880,336 = 880,336/x
  3. Step 3: Cross multiply
    422,600x = 880,336 × 880,336
  4. Step 4: Simplify right side
    422,600x = 774,991,472,896
  5. Step 5: Solve for x
    x = 774,991,472,896/422,600
  6. Step 6: Final answer
    x = 1,833,865.29

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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.