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Finding the Third Proportional to 412,666 and 904,059

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Solution

The third proportional to 412,666 and 904,059 is: 1,980,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,666 : 904,059 = 904,059 : x
  2. Step 2: Convert to fraction form
    412,666/904,059 = 904,059/x
  3. Step 3: Cross multiply
    412,666x = 904,059 × 904,059
  4. Step 4: Simplify right side
    412,666x = 817,322,675,481
  5. Step 5: Solve for x
    x = 817,322,675,481/412,666
  6. Step 6: Final answer
    x = 1,980,591.27

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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.