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Finding the Third Proportional to 454,847,756 and 698,701,789

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Solution

The third proportional to 454,847,756 and 698,701,789 is: 1,073,291,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,847,756 : 698,701,789 = 698,701,789 : x
  2. Step 2: Convert to fraction form
    454,847,756/698,701,789 = 698,701,789/x
  3. Step 3: Cross multiply
    454,847,756x = 698,701,789 × 698,701,789
  4. Step 4: Simplify right side
    454,847,756x = 488,184,189,951,800,512
  5. Step 5: Solve for x
    x = 488,184,189,951,800,512/454,847,756
  6. Step 6: Final answer
    x = 1,073,291,411.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.