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Finding the Third Proportional to 447,124 and 960,830

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Solution

The third proportional to 447,124 and 960,830 is: 2,064,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,124 : 960,830 = 960,830 : x
  2. Step 2: Convert to fraction form
    447,124/960,830 = 960,830/x
  3. Step 3: Cross multiply
    447,124x = 960,830 × 960,830
  4. Step 4: Simplify right side
    447,124x = 923,194,288,900
  5. Step 5: Solve for x
    x = 923,194,288,900/447,124
  6. Step 6: Final answer
    x = 2,064,738.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.