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Finding the Third Proportional to 449,690 and 963,134

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Solution

The third proportional to 449,690 and 963,134 is: 2,062,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,690 : 963,134 = 963,134 : x
  2. Step 2: Convert to fraction form
    449,690/963,134 = 963,134/x
  3. Step 3: Cross multiply
    449,690x = 963,134 × 963,134
  4. Step 4: Simplify right side
    449,690x = 927,627,101,956
  5. Step 5: Solve for x
    x = 927,627,101,956/449,690
  6. Step 6: Final answer
    x = 2,062,814.61

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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.