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Finding the Third Proportional to 362,171,520 and 784,510,174

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Solution

The third proportional to 362,171,520 and 784,510,174 is: 1,699,350,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,171,520 : 784,510,174 = 784,510,174 : x
  2. Step 2: Convert to fraction form
    362,171,520/784,510,174 = 784,510,174/x
  3. Step 3: Cross multiply
    362,171,520x = 784,510,174 × 784,510,174
  4. Step 4: Simplify right side
    362,171,520x = 615,456,213,109,510,272
  5. Step 5: Solve for x
    x = 615,456,213,109,510,272/362,171,520
  6. Step 6: Final answer
    x = 1,699,350,112.09

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