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Finding the Third Proportional to 828,192 and 1,786,866

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Solution

The third proportional to 828,192 and 1,786,866 is: 3,855,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,192 : 1,786,866 = 1,786,866 : x
  2. Step 2: Convert to fraction form
    828,192/1,786,866 = 1,786,866/x
  3. Step 3: Cross multiply
    828,192x = 1,786,866 × 1,786,866
  4. Step 4: Simplify right side
    828,192x = 3,192,890,101,956
  5. Step 5: Solve for x
    x = 3,192,890,101,956/828,192
  6. Step 6: Final answer
    x = 3,855,253.49

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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.