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Finding the Third Proportional to 1,079,709.75 and 2,499,573.94

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Solution

The third proportional to 1,079,709.75 and 2,499,573.94 is: 5,786,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,709.75 : 2,499,573.94 = 2,499,573.94 : x
  2. Step 2: Convert to fraction form
    1,079,709.75/2,499,573.94 = 2,499,573.94/x
  3. Step 3: Cross multiply
    1,079,709.75x = 2,499,573.94 × 2,499,573.94
  4. Step 4: Simplify right side
    1,079,709.75x = 6,247,869,869,029.25
  5. Step 5: Solve for x
    x = 6,247,869,869,029.25/1,079,709.75
  6. Step 6: Final answer
    x = 5,786,619.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.