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Finding the Third Proportional to 966,510 and 2,092,311

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Solution

The third proportional to 966,510 and 2,092,311 is: 4,529,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,510 : 2,092,311 = 2,092,311 : x
  2. Step 2: Convert to fraction form
    966,510/2,092,311 = 2,092,311/x
  3. Step 3: Cross multiply
    966,510x = 2,092,311 × 2,092,311
  4. Step 4: Simplify right side
    966,510x = 4,377,765,320,721
  5. Step 5: Solve for x
    x = 4,377,765,320,721/966,510
  6. Step 6: Final answer
    x = 4,529,456.83

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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.