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Finding the Third Proportional to 512,677,296 and 794,347,884

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Solution

The third proportional to 512,677,296 and 794,347,884 is: 1,230,771,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,677,296 : 794,347,884 = 794,347,884 : x
  2. Step 2: Convert to fraction form
    512,677,296/794,347,884 = 794,347,884/x
  3. Step 3: Cross multiply
    512,677,296x = 794,347,884 × 794,347,884
  4. Step 4: Simplify right side
    512,677,296x = 630,988,560,815,277,440
  5. Step 5: Solve for x
    x = 630,988,560,815,277,440/512,677,296
  6. Step 6: Final answer
    x = 1,230,771,414.57

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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.