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Finding the Third Proportional to 449,568.13 and 963,100.38

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Solution

The third proportional to 449,568.13 and 963,100.38 is: 2,063,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,568.13 : 963,100.38 = 963,100.38 : x
  2. Step 2: Convert to fraction form
    449,568.13/963,100.38 = 963,100.38/x
  3. Step 3: Cross multiply
    449,568.13x = 963,100.38 × 963,100.38
  4. Step 4: Simplify right side
    449,568.13x = 927,562,332,325.14
  5. Step 5: Solve for x
    x = 927,562,332,325.14/449,568.13
  6. Step 6: Final answer
    x = 2,063,229.75

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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.