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Finding the Third Proportional to 824,169.94 and 1,273,618.69

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Solution

The third proportional to 824,169.94 and 1,273,618.69 is: 1,968,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,169.94 : 1,273,618.69 = 1,273,618.69 : x
  2. Step 2: Convert to fraction form
    824,169.94/1,273,618.69 = 1,273,618.69/x
  3. Step 3: Cross multiply
    824,169.94x = 1,273,618.69 × 1,273,618.69
  4. Step 4: Simplify right side
    824,169.94x = 1,622,104,561,149.22
  5. Step 5: Solve for x
    x = 1,622,104,561,149.22/824,169.94
  6. Step 6: Final answer
    x = 1,968,167.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.