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Finding the Third Proportional to 415,297 and 888,179

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Solution

The third proportional to 415,297 and 888,179 is: 1,899,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,297 : 888,179 = 888,179 : x
  2. Step 2: Convert to fraction form
    415,297/888,179 = 888,179/x
  3. Step 3: Cross multiply
    415,297x = 888,179 × 888,179
  4. Step 4: Simplify right side
    415,297x = 788,861,936,041
  5. Step 5: Solve for x
    x = 788,861,936,041/415,297
  6. Step 6: Final answer
    x = 1,899,512.72

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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.