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Finding the Third Proportional to 629,228 and 1,363,434

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Solution

The third proportional to 629,228 and 1,363,434 is: 2,954,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,228 : 1,363,434 = 1,363,434 : x
  2. Step 2: Convert to fraction form
    629,228/1,363,434 = 1,363,434/x
  3. Step 3: Cross multiply
    629,228x = 1,363,434 × 1,363,434
  4. Step 4: Simplify right side
    629,228x = 1,858,952,272,356
  5. Step 5: Solve for x
    x = 1,858,952,272,356/629,228
  6. Step 6: Final answer
    x = 2,954,338.13

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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.