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Finding the Third Proportional to 532,175,862 and 796,093,809

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Solution

The third proportional to 532,175,862 and 796,093,809 is: 1,190,894,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,175,862 : 796,093,809 = 796,093,809 : x
  2. Step 2: Convert to fraction form
    532,175,862/796,093,809 = 796,093,809/x
  3. Step 3: Cross multiply
    532,175,862x = 796,093,809 × 796,093,809
  4. Step 4: Simplify right side
    532,175,862x = 633,765,352,728,128,512
  5. Step 5: Solve for x
    x = 633,765,352,728,128,512/532,175,862
  6. Step 6: Final answer
    x = 1,190,894,585.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.