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Finding the Third Proportional to 449,524.69 and 963,019.13

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Solution

The third proportional to 449,524.69 and 963,019.13 is: 2,063,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,524.69 : 963,019.13 = 963,019.13 : x
  2. Step 2: Convert to fraction form
    449,524.69/963,019.13 = 963,019.13/x
  3. Step 3: Cross multiply
    449,524.69x = 963,019.13 × 963,019.13
  4. Step 4: Simplify right side
    449,524.69x = 927,405,835,115.77
  5. Step 5: Solve for x
    x = 927,405,835,115.77/449,524.69
  6. Step 6: Final answer
    x = 2,063,080.99

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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.