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Finding the Third Proportional to 904,410 and 1,399,761

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Solution

The third proportional to 904,410 and 1,399,761 is: 2,166,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,410 : 1,399,761 = 1,399,761 : x
  2. Step 2: Convert to fraction form
    904,410/1,399,761 = 1,399,761/x
  3. Step 3: Cross multiply
    904,410x = 1,399,761 × 1,399,761
  4. Step 4: Simplify right side
    904,410x = 1,959,330,857,121
  5. Step 5: Solve for x
    x = 1,959,330,857,121/904,410
  6. Step 6: Final answer
    x = 2,166,418.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.