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Finding the Third Proportional to 412,183 and 868,646

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Solution

The third proportional to 412,183 and 868,646 is: 1,830,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,183 : 868,646 = 868,646 : x
  2. Step 2: Convert to fraction form
    412,183/868,646 = 868,646/x
  3. Step 3: Cross multiply
    412,183x = 868,646 × 868,646
  4. Step 4: Simplify right side
    412,183x = 754,545,873,316
  5. Step 5: Solve for x
    x = 754,545,873,316/412,183
  6. Step 6: Final answer
    x = 1,830,608.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.