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Finding the Third Proportional to 412,629.47 and 874,937.25

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Solution

The third proportional to 412,629.47 and 874,937.25 is: 1,855,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,629.47 : 874,937.25 = 874,937.25 : x
  2. Step 2: Convert to fraction form
    412,629.47/874,937.25 = 874,937.25/x
  3. Step 3: Cross multiply
    412,629.47x = 874,937.25 × 874,937.25
  4. Step 4: Simplify right side
    412,629.47x = 765,515,191,437.56
  5. Step 5: Solve for x
    x = 765,515,191,437.56/412,629.47
  6. Step 6: Final answer
    x = 1,855,212.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.