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Finding the Third Proportional to 796,232,872.75 and 1,194,349,433.75

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Solution

The third proportional to 796,232,872.75 and 1,194,349,433.75 is: 1,791,524,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,232,872.75 : 1,194,349,433.75 = 1,194,349,433.75 : x
  2. Step 2: Convert to fraction form
    796,232,872.75/1,194,349,433.75 = 1,194,349,433.75/x
  3. Step 3: Cross multiply
    796,232,872.75x = 1,194,349,433.75 × 1,194,349,433.75
  4. Step 4: Simplify right side
    796,232,872.75x = 1,426,470,569,898,945,536
  5. Step 5: Solve for x
    x = 1,426,470,569,898,945,536/796,232,872.75
  6. Step 6: Final answer
    x = 1,791,524,337.56

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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.