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Finding the Third Proportional to 547,722,218 and 848,408,624

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Solution

The third proportional to 547,722,218 and 848,408,624 is: 1,314,164,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,722,218 : 848,408,624 = 848,408,624 : x
  2. Step 2: Convert to fraction form
    547,722,218/848,408,624 = 848,408,624/x
  3. Step 3: Cross multiply
    547,722,218x = 848,408,624 × 848,408,624
  4. Step 4: Simplify right side
    547,722,218x = 719,797,193,277,573,376
  5. Step 5: Solve for x
    x = 719,797,193,277,573,376/547,722,218
  6. Step 6: Final answer
    x = 1,314,164,679.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.