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Finding the Third Proportional to 416,405 and 904,161

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Solution

The third proportional to 416,405 and 904,161 is: 1,963,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405 : 904,161 = 904,161 : x
  2. Step 2: Convert to fraction form
    416,405/904,161 = 904,161/x
  3. Step 3: Cross multiply
    416,405x = 904,161 × 904,161
  4. Step 4: Simplify right side
    416,405x = 817,507,113,921
  5. Step 5: Solve for x
    x = 817,507,113,921/416,405
  6. Step 6: Final answer
    x = 1,963,249.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.