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Finding the Third Proportional to 533,921,906 and 826,286,619

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Solution

The third proportional to 533,921,906 and 826,286,619 is: 1,278,744,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,921,906 : 826,286,619 = 826,286,619 : x
  2. Step 2: Convert to fraction form
    533,921,906/826,286,619 = 826,286,619/x
  3. Step 3: Cross multiply
    533,921,906x = 826,286,619 × 826,286,619
  4. Step 4: Simplify right side
    533,921,906x = 682,749,576,738,451,200
  5. Step 5: Solve for x
    x = 682,749,576,738,451,200/533,921,906
  6. Step 6: Final answer
    x = 1,278,744,267.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.