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Finding the Third Proportional to 512,500,608 and 794,228,976

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Solution

The third proportional to 512,500,608 and 794,228,976 is: 1,230,827,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,500,608 : 794,228,976 = 794,228,976 : x
  2. Step 2: Convert to fraction form
    512,500,608/794,228,976 = 794,228,976/x
  3. Step 3: Cross multiply
    512,500,608x = 794,228,976 × 794,228,976
  4. Step 4: Simplify right side
    512,500,608x = 630,799,666,318,008,576
  5. Step 5: Solve for x
    x = 630,799,666,318,008,576/512,500,608
  6. Step 6: Final answer
    x = 1,230,827,157.02

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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.