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Finding the Third Proportional to 379,060 and 817,166

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Solution

The third proportional to 379,060 and 817,166 is: 1,761,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,060 : 817,166 = 817,166 : x
  2. Step 2: Convert to fraction form
    379,060/817,166 = 817,166/x
  3. Step 3: Cross multiply
    379,060x = 817,166 × 817,166
  4. Step 4: Simplify right side
    379,060x = 667,760,271,556
  5. Step 5: Solve for x
    x = 667,760,271,556/379,060
  6. Step 6: Final answer
    x = 1,761,621.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.