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Finding the Third Proportional to 415,293 and 888,171

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Solution

The third proportional to 415,293 and 888,171 is: 1,899,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,293 : 888,171 = 888,171 : x
  2. Step 2: Convert to fraction form
    415,293/888,171 = 888,171/x
  3. Step 3: Cross multiply
    415,293x = 888,171 × 888,171
  4. Step 4: Simplify right side
    415,293x = 788,847,725,241
  5. Step 5: Solve for x
    x = 788,847,725,241/415,293
  6. Step 6: Final answer
    x = 1,899,496.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.