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Finding the Third Proportional to 412,629.19 and 874,936.69

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Solution

The third proportional to 412,629.19 and 874,936.69 is: 1,855,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,629.19 : 874,936.69 = 874,936.69 : x
  2. Step 2: Convert to fraction form
    412,629.19/874,936.69 = 874,936.69/x
  3. Step 3: Cross multiply
    412,629.19x = 874,936.69 × 874,936.69
  4. Step 4: Simplify right side
    412,629.19x = 765,514,207,133.47
  5. Step 5: Solve for x
    x = 765,514,207,133.47/412,629.19
  6. Step 6: Final answer
    x = 1,855,211.00

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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.