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Finding the Third Proportional to 449,568 and 968,832

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Solution

The third proportional to 449,568 and 968,832 is: 2,087,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,568 : 968,832 = 968,832 : x
  2. Step 2: Convert to fraction form
    449,568/968,832 = 968,832/x
  3. Step 3: Cross multiply
    449,568x = 968,832 × 968,832
  4. Step 4: Simplify right side
    449,568x = 938,635,444,224
  5. Step 5: Solve for x
    x = 938,635,444,224/449,568
  6. Step 6: Final answer
    x = 2,087,860.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.