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Finding the Third Proportional to 514,651.50 and 1,134,009

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Solution

The third proportional to 514,651.50 and 1,134,009 is: 2,498,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,651.50 : 1,134,009 = 1,134,009 : x
  2. Step 2: Convert to fraction form
    514,651.50/1,134,009 = 1,134,009/x
  3. Step 3: Cross multiply
    514,651.50x = 1,134,009 × 1,134,009
  4. Step 4: Simplify right side
    514,651.50x = 1,285,976,412,081
  5. Step 5: Solve for x
    x = 1,285,976,412,081/514,651.50
  6. Step 6: Final answer
    x = 2,498,732.47

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Why These Related Problems?

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