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Finding the Third Proportional to 449,134 and 960,500

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Solution

The third proportional to 449,134 and 960,500 is: 2,054,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,134 : 960,500 = 960,500 : x
  2. Step 2: Convert to fraction form
    449,134/960,500 = 960,500/x
  3. Step 3: Cross multiply
    449,134x = 960,500 × 960,500
  4. Step 4: Simplify right side
    449,134x = 922,560,250,000
  5. Step 5: Solve for x
    x = 922,560,250,000/449,134
  6. Step 6: Final answer
    x = 2,054,086.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.