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Finding the Third Proportional to 467,234 and 981,124

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Solution

The third proportional to 467,234 and 981,124 is: 2,060,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,234 : 981,124 = 981,124 : x
  2. Step 2: Convert to fraction form
    467,234/981,124 = 981,124/x
  3. Step 3: Cross multiply
    467,234x = 981,124 × 981,124
  4. Step 4: Simplify right side
    467,234x = 962,604,303,376
  5. Step 5: Solve for x
    x = 962,604,303,376/467,234
  6. Step 6: Final answer
    x = 2,060,218.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.