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Finding the Third Proportional to 595,296 and 1,309,115.25

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Solution

The third proportional to 595,296 and 1,309,115.25 is: 2,878,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,296 : 1,309,115.25 = 1,309,115.25 : x
  2. Step 2: Convert to fraction form
    595,296/1,309,115.25 = 1,309,115.25/x
  3. Step 3: Cross multiply
    595,296x = 1,309,115.25 × 1,309,115.25
  4. Step 4: Simplify right side
    595,296x = 1,713,782,737,782.56
  5. Step 5: Solve for x
    x = 1,713,782,737,782.56/595,296
  6. Step 6: Final answer
    x = 2,878,874.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.