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Finding the Third Proportional to 449,119.69 and 919,198.13

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Solution

The third proportional to 449,119.69 and 919,198.13 is: 1,881,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,119.69 : 919,198.13 = 919,198.13 : x
  2. Step 2: Convert to fraction form
    449,119.69/919,198.13 = 919,198.13/x
  3. Step 3: Cross multiply
    449,119.69x = 919,198.13 × 919,198.13
  4. Step 4: Simplify right side
    449,119.69x = 844,925,193,003.52
  5. Step 5: Solve for x
    x = 844,925,193,003.52/449,119.69
  6. Step 6: Final answer
    x = 1,881,291.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.