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Finding the Third Proportional to 627,194 and 1,366,276

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Solution

The third proportional to 627,194 and 1,366,276 is: 2,976,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,194 : 1,366,276 = 1,366,276 : x
  2. Step 2: Convert to fraction form
    627,194/1,366,276 = 1,366,276/x
  3. Step 3: Cross multiply
    627,194x = 1,366,276 × 1,366,276
  4. Step 4: Simplify right side
    627,194x = 1,866,710,108,176
  5. Step 5: Solve for x
    x = 1,866,710,108,176/627,194
  6. Step 6: Final answer
    x = 2,976,288.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.