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Finding the Third Proportional to 629,220 and 1,363,416

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Solution

The third proportional to 629,220 and 1,363,416 is: 2,954,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,220 : 1,363,416 = 1,363,416 : x
  2. Step 2: Convert to fraction form
    629,220/1,363,416 = 1,363,416/x
  3. Step 3: Cross multiply
    629,220x = 1,363,416 × 1,363,416
  4. Step 4: Simplify right side
    629,220x = 1,858,903,189,056
  5. Step 5: Solve for x
    x = 1,858,903,189,056/629,220
  6. Step 6: Final answer
    x = 2,954,297.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.