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Finding the Third Proportional to 629,210 and 1,363,396

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Solution

The third proportional to 629,210 and 1,363,396 is: 2,954,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,210 : 1,363,396 = 1,363,396 : x
  2. Step 2: Convert to fraction form
    629,210/1,363,396 = 1,363,396/x
  3. Step 3: Cross multiply
    629,210x = 1,363,396 × 1,363,396
  4. Step 4: Simplify right side
    629,210x = 1,858,848,652,816
  5. Step 5: Solve for x
    x = 1,858,848,652,816/629,210
  6. Step 6: Final answer
    x = 2,954,257.96

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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.