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Finding the Third Proportional to 726,759,474 and 1,089,872,289

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Solution

The third proportional to 726,759,474 and 1,089,872,289 is: 1,634,408,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,759,474 : 1,089,872,289 = 1,089,872,289 : x
  2. Step 2: Convert to fraction form
    726,759,474/1,089,872,289 = 1,089,872,289/x
  3. Step 3: Cross multiply
    726,759,474x = 1,089,872,289 × 1,089,872,289
  4. Step 4: Simplify right side
    726,759,474x = 1,187,821,606,330,099,456
  5. Step 5: Solve for x
    x = 1,187,821,606,330,099,456/726,759,474
  6. Step 6: Final answer
    x = 1,634,408,148.53

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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.