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Finding the Third Proportional to 684,166.50 and 1,467,942.75

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Solution

The third proportional to 684,166.50 and 1,467,942.75 is: 3,149,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,166.50 : 1,467,942.75 = 1,467,942.75 : x
  2. Step 2: Convert to fraction form
    684,166.50/1,467,942.75 = 1,467,942.75/x
  3. Step 3: Cross multiply
    684,166.50x = 1,467,942.75 × 1,467,942.75
  4. Step 4: Simplify right side
    684,166.50x = 2,154,855,917,277.56
  5. Step 5: Solve for x
    x = 2,154,855,917,277.56/684,166.50
  6. Step 6: Final answer
    x = 3,149,607.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.