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Finding the Third Proportional to 627,264 and 1,358,208

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Solution

The third proportional to 627,264 and 1,358,208 is: 2,940,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,264 : 1,358,208 = 1,358,208 : x
  2. Step 2: Convert to fraction form
    627,264/1,358,208 = 1,358,208/x
  3. Step 3: Cross multiply
    627,264x = 1,358,208 × 1,358,208
  4. Step 4: Simplify right side
    627,264x = 1,844,728,971,264
  5. Step 5: Solve for x
    x = 1,844,728,971,264/627,264
  6. Step 6: Final answer
    x = 2,940,913.19

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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.