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Finding the Third Proportional to 522,443,832 and 755,215,956

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Solution

The third proportional to 522,443,832 and 755,215,956 is: 1,091,698,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,443,832 : 755,215,956 = 755,215,956 : x
  2. Step 2: Convert to fraction form
    522,443,832/755,215,956 = 755,215,956/x
  3. Step 3: Cross multiply
    522,443,832x = 755,215,956 × 755,215,956
  4. Step 4: Simplify right side
    522,443,832x = 570,351,140,196,993,920
  5. Step 5: Solve for x
    x = 570,351,140,196,993,920/522,443,832
  6. Step 6: Final answer
    x = 1,091,698,485.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.