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Finding the Third Proportional to 415,944 and 894,936

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Solution

The third proportional to 415,944 and 894,936 is: 1,925,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,944 : 894,936 = 894,936 : x
  2. Step 2: Convert to fraction form
    415,944/894,936 = 894,936/x
  3. Step 3: Cross multiply
    415,944x = 894,936 × 894,936
  4. Step 4: Simplify right side
    415,944x = 800,910,444,096
  5. Step 5: Solve for x
    x = 800,910,444,096/415,944
  6. Step 6: Final answer
    x = 1,925,524.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.