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Finding the Third Proportional to 726,759,584 and 1,089,872,560

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Solution

The third proportional to 726,759,584 and 1,089,872,560 is: 1,634,408,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,759,584 : 1,089,872,560 = 1,089,872,560 : x
  2. Step 2: Convert to fraction form
    726,759,584/1,089,872,560 = 1,089,872,560/x
  3. Step 3: Cross multiply
    726,759,584x = 1,089,872,560 × 1,089,872,560
  4. Step 4: Simplify right side
    726,759,584x = 1,187,822,197,040,953,600
  5. Step 5: Solve for x
    x = 1,187,822,197,040,953,600/726,759,584
  6. Step 6: Final answer
    x = 1,634,408,713.96

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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.