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Finding the Third Proportional to 532,175,826 and 796,093,755

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Solution

The third proportional to 532,175,826 and 796,093,755 is: 1,190,894,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,175,826 : 796,093,755 = 796,093,755 : x
  2. Step 2: Convert to fraction form
    532,175,826/796,093,755 = 796,093,755/x
  3. Step 3: Cross multiply
    532,175,826x = 796,093,755 × 796,093,755
  4. Step 4: Simplify right side
    532,175,826x = 633,765,266,750,000,000
  5. Step 5: Solve for x
    x = 633,765,266,750,000,000/532,175,826
  6. Step 6: Final answer
    x = 1,190,894,504.76

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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.