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Finding the Third Proportional to 645,650,676 and 905,975,847

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Solution

The third proportional to 645,650,676 and 905,975,847 is: 1,271,263,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,650,676 : 905,975,847 = 905,975,847 : x
  2. Step 2: Convert to fraction form
    645,650,676/905,975,847 = 905,975,847/x
  3. Step 3: Cross multiply
    645,650,676x = 905,975,847 × 905,975,847
  4. Step 4: Simplify right side
    645,650,676x = 820,792,235,347,367,424
  5. Step 5: Solve for x
    x = 820,792,235,347,367,424/645,650,676
  6. Step 6: Final answer
    x = 1,271,263,650.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.