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Finding the Third Proportional to 726,759,472 and 1,089,872,286

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Solution

The third proportional to 726,759,472 and 1,089,872,286 is: 1,634,408,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,759,472 : 1,089,872,286 = 1,089,872,286 : x
  2. Step 2: Convert to fraction form
    726,759,472/1,089,872,286 = 1,089,872,286/x
  3. Step 3: Cross multiply
    726,759,472x = 1,089,872,286 × 1,089,872,286
  4. Step 4: Simplify right side
    726,759,472x = 1,187,821,599,790,865,920
  5. Step 5: Solve for x
    x = 1,187,821,599,790,865,920/726,759,472
  6. Step 6: Final answer
    x = 1,634,408,144.03

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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.