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Finding the Third Proportional to 684,508,272 and 1,494,451,200

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Solution

The third proportional to 684,508,272 and 1,494,451,200 is: 3,262,757,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,508,272 : 1,494,451,200 = 1,494,451,200 : x
  2. Step 2: Convert to fraction form
    684,508,272/1,494,451,200 = 1,494,451,200/x
  3. Step 3: Cross multiply
    684,508,272x = 1,494,451,200 × 1,494,451,200
  4. Step 4: Simplify right side
    684,508,272x = 2,233,384,389,181,440,000
  5. Step 5: Solve for x
    x = 2,233,384,389,181,440,000/684,508,272
  6. Step 6: Final answer
    x = 3,262,757,340.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.