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Finding the Third Proportional to 444,464 and 958,912

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Solution

The third proportional to 444,464 and 958,912 is: 2,068,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,464 : 958,912 = 958,912 : x
  2. Step 2: Convert to fraction form
    444,464/958,912 = 958,912/x
  3. Step 3: Cross multiply
    444,464x = 958,912 × 958,912
  4. Step 4: Simplify right side
    444,464x = 919,512,223,744
  5. Step 5: Solve for x
    x = 919,512,223,744/444,464
  6. Step 6: Final answer
    x = 2,068,811.48

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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.