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Finding the Third Proportional to 383,860,458 and 828,885,780

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Solution

The third proportional to 383,860,458 and 828,885,780 is: 1,789,847,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,860,458 : 828,885,780 = 828,885,780 : x
  2. Step 2: Convert to fraction form
    383,860,458/828,885,780 = 828,885,780/x
  3. Step 3: Cross multiply
    383,860,458x = 828,885,780 × 828,885,780
  4. Step 4: Simplify right side
    383,860,458x = 687,051,636,286,208,384
  5. Step 5: Solve for x
    x = 687,051,636,286,208,384/383,860,458
  6. Step 6: Final answer
    x = 1,789,847,383.25

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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.