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Finding the Third Proportional to 494,043,240 and 726,694,812

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Solution

The third proportional to 494,043,240 and 726,694,812 is: 1,068,905,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,043,240 : 726,694,812 = 726,694,812 : x
  2. Step 2: Convert to fraction form
    494,043,240/726,694,812 = 726,694,812/x
  3. Step 3: Cross multiply
    494,043,240x = 726,694,812 × 726,694,812
  4. Step 4: Simplify right side
    494,043,240x = 528,085,349,787,715,328
  5. Step 5: Solve for x
    x = 528,085,349,787,715,328/494,043,240
  6. Step 6: Final answer
    x = 1,068,905,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.