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Finding the Third Proportional to 777,027.50 and 1,585,653

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Solution

The third proportional to 777,027.50 and 1,585,653 is: 3,235,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,027.50 : 1,585,653 = 1,585,653 : x
  2. Step 2: Convert to fraction form
    777,027.50/1,585,653 = 1,585,653/x
  3. Step 3: Cross multiply
    777,027.50x = 1,585,653 × 1,585,653
  4. Step 4: Simplify right side
    777,027.50x = 2,514,295,436,409
  5. Step 5: Solve for x
    x = 2,514,295,436,409/777,027.50
  6. Step 6: Final answer
    x = 3,235,786.94

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.