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Finding the Third Proportional to 510,847,252 and 789,250,416

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Solution

The third proportional to 510,847,252 and 789,250,416 is: 1,219,378,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,847,252 : 789,250,416 = 789,250,416 : x
  2. Step 2: Convert to fraction form
    510,847,252/789,250,416 = 789,250,416/x
  3. Step 3: Cross multiply
    510,847,252x = 789,250,416 × 789,250,416
  4. Step 4: Simplify right side
    510,847,252x = 622,916,219,156,173,056
  5. Step 5: Solve for x
    x = 622,916,219,156,173,056/510,847,252
  6. Step 6: Final answer
    x = 1,219,378,623.88

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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.