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Finding the Third Proportional to 481,894,400 and 744,606,720

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Solution

The third proportional to 481,894,400 and 744,606,720 is: 1,150,540,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,894,400 : 744,606,720 = 744,606,720 : x
  2. Step 2: Convert to fraction form
    481,894,400/744,606,720 = 744,606,720/x
  3. Step 3: Cross multiply
    481,894,400x = 744,606,720 × 744,606,720
  4. Step 4: Simplify right side
    481,894,400x = 554,439,167,469,158,400
  5. Step 5: Solve for x
    x = 554,439,167,469,158,400/481,894,400
  6. Step 6: Final answer
    x = 1,150,540,797.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.