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Finding the Third Proportional to 416,410,308 and 904,504,158

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Solution

The third proportional to 416,410,308 and 904,504,158 is: 1,964,715,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410,308 : 904,504,158 = 904,504,158 : x
  2. Step 2: Convert to fraction form
    416,410,308/904,504,158 = 904,504,158/x
  3. Step 3: Cross multiply
    416,410,308x = 904,504,158 × 904,504,158
  4. Step 4: Simplify right side
    416,410,308x = 818,127,771,839,288,960
  5. Step 5: Solve for x
    x = 818,127,771,839,288,960/416,410,308
  6. Step 6: Final answer
    x = 1,964,715,464.82

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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.