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Finding the Third Proportional to 509,514.75 and 1,110,588

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Solution

The third proportional to 509,514.75 and 1,110,588 is: 2,420,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,514.75 : 1,110,588 = 1,110,588 : x
  2. Step 2: Convert to fraction form
    509,514.75/1,110,588 = 1,110,588/x
  3. Step 3: Cross multiply
    509,514.75x = 1,110,588 × 1,110,588
  4. Step 4: Simplify right side
    509,514.75x = 1,233,405,705,744
  5. Step 5: Solve for x
    x = 1,233,405,705,744/509,514.75
  6. Step 6: Final answer
    x = 2,420,745.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.