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Finding the Third Proportional to 383,860,446 and 828,885,756

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Solution

The third proportional to 383,860,446 and 828,885,756 is: 1,789,847,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,860,446 : 828,885,756 = 828,885,756 : x
  2. Step 2: Convert to fraction form
    383,860,446/828,885,756 = 828,885,756/x
  3. Step 3: Cross multiply
    383,860,446x = 828,885,756 × 828,885,756
  4. Step 4: Simplify right side
    383,860,446x = 687,051,596,499,691,520
  5. Step 5: Solve for x
    x = 687,051,596,499,691,520/383,860,446
  6. Step 6: Final answer
    x = 1,789,847,335.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.