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Finding the Third Proportional to 445,169.25 and 1,049,823

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Solution

The third proportional to 445,169.25 and 1,049,823 is: 2,475,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,169.25 : 1,049,823 = 1,049,823 : x
  2. Step 2: Convert to fraction form
    445,169.25/1,049,823 = 1,049,823/x
  3. Step 3: Cross multiply
    445,169.25x = 1,049,823 × 1,049,823
  4. Step 4: Simplify right side
    445,169.25x = 1,102,128,331,329
  5. Step 5: Solve for x
    x = 1,102,128,331,329/445,169.25
  6. Step 6: Final answer
    x = 2,475,751.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.