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Finding the Third Proportional to 549,028,910 and 836,408,123

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Solution

The third proportional to 549,028,910 and 836,408,123 is: 1,274,210,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,028,910 : 836,408,123 = 836,408,123 : x
  2. Step 2: Convert to fraction form
    549,028,910/836,408,123 = 836,408,123/x
  3. Step 3: Cross multiply
    549,028,910x = 836,408,123 × 836,408,123
  4. Step 4: Simplify right side
    549,028,910x = 699,578,548,220,383,104
  5. Step 5: Solve for x
    x = 699,578,548,220,383,104/549,028,910
  6. Step 6: Final answer
    x = 1,274,210,766.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.