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Finding the Third Proportional to 362,171,522 and 784,510,178

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Solution

The third proportional to 362,171,522 and 784,510,178 is: 1,699,350,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,171,522 : 784,510,178 = 784,510,178 : x
  2. Step 2: Convert to fraction form
    362,171,522/784,510,178 = 784,510,178/x
  3. Step 3: Cross multiply
    362,171,522x = 784,510,178 × 784,510,178
  4. Step 4: Simplify right side
    362,171,522x = 615,456,219,385,591,680
  5. Step 5: Solve for x
    x = 615,456,219,385,591,680/362,171,522
  6. Step 6: Final answer
    x = 1,699,350,120.04

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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.