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Finding the Third Proportional to 509,464.50 and 1,090,266

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Solution

The third proportional to 509,464.50 and 1,090,266 is: 2,333,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,464.50 : 1,090,266 = 1,090,266 : x
  2. Step 2: Convert to fraction form
    509,464.50/1,090,266 = 1,090,266/x
  3. Step 3: Cross multiply
    509,464.50x = 1,090,266 × 1,090,266
  4. Step 4: Simplify right side
    509,464.50x = 1,188,679,950,756
  5. Step 5: Solve for x
    x = 1,188,679,950,756/509,464.50
  6. Step 6: Final answer
    x = 2,333,194.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.