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Finding the Third Proportional to 415,169 and 894,012

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Solution

The third proportional to 415,169 and 894,012 is: 1,925,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,169 : 894,012 = 894,012 : x
  2. Step 2: Convert to fraction form
    415,169/894,012 = 894,012/x
  3. Step 3: Cross multiply
    415,169x = 894,012 × 894,012
  4. Step 4: Simplify right side
    415,169x = 799,257,456,144
  5. Step 5: Solve for x
    x = 799,257,456,144/415,169
  6. Step 6: Final answer
    x = 1,925,137.61

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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.