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Finding the Third Proportional to 615,441 and 903,192

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Solution

The third proportional to 615,441 and 903,192 is: 1,325,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,441 : 903,192 = 903,192 : x
  2. Step 2: Convert to fraction form
    615,441/903,192 = 903,192/x
  3. Step 3: Cross multiply
    615,441x = 903,192 × 903,192
  4. Step 4: Simplify right side
    615,441x = 815,755,788,864
  5. Step 5: Solve for x
    x = 815,755,788,864/615,441
  6. Step 6: Final answer
    x = 1,325,481.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.