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Finding the Third Proportional to 796,232,891.81 and 1,194,349,462.88

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Solution

The third proportional to 796,232,891.81 and 1,194,349,462.88 is: 1,791,524,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,232,891.81 : 1,194,349,462.88 = 1,194,349,462.88 : x
  2. Step 2: Convert to fraction form
    796,232,891.81/1,194,349,462.88 = 1,194,349,462.88/x
  3. Step 3: Cross multiply
    796,232,891.81x = 1,194,349,462.88 × 1,194,349,462.88
  4. Step 4: Simplify right side
    796,232,891.81x = 1,426,470,639,469,800,960
  5. Step 5: Solve for x
    x = 1,426,470,639,469,800,960/796,232,891.81
  6. Step 6: Final answer
    x = 1,791,524,382.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.