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Finding the Third Proportional to 412,200 and 904,104

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Solution

The third proportional to 412,200 and 904,104 is: 1,983,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,200 : 904,104 = 904,104 : x
  2. Step 2: Convert to fraction form
    412,200/904,104 = 904,104/x
  3. Step 3: Cross multiply
    412,200x = 904,104 × 904,104
  4. Step 4: Simplify right side
    412,200x = 817,404,042,816
  5. Step 5: Solve for x
    x = 817,404,042,816/412,200
  6. Step 6: Final answer
    x = 1,983,027.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.