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Finding the Third Proportional to 1,231,640.75 and 2,877,668.63

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Solution

The third proportional to 1,231,640.75 and 2,877,668.63 is: 6,723,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,640.75 : 2,877,668.63 = 2,877,668.63 : x
  2. Step 2: Convert to fraction form
    1,231,640.75/2,877,668.63 = 2,877,668.63/x
  3. Step 3: Cross multiply
    1,231,640.75x = 2,877,668.63 × 2,877,668.63
  4. Step 4: Simplify right side
    1,231,640.75x = 8,280,976,715,309.39
  5. Step 5: Solve for x
    x = 8,280,976,715,309.39/1,231,640.75
  6. Step 6: Final answer
    x = 6,723,532.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.