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Finding the Third Proportional to 520,796,985 and 793,404,963.75

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Solution

The third proportional to 520,796,985 and 793,404,963.75 is: 1,208,707,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,796,985 : 793,404,963.75 = 793,404,963.75 : x
  2. Step 2: Convert to fraction form
    520,796,985/793,404,963.75 = 793,404,963.75/x
  3. Step 3: Cross multiply
    520,796,985x = 793,404,963.75 × 793,404,963.75
  4. Step 4: Simplify right side
    520,796,985x = 629,491,436,503,138,816
  5. Step 5: Solve for x
    x = 629,491,436,503,138,816/520,796,985
  6. Step 6: Final answer
    x = 1,208,707,912.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.