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Finding the Third Proportional to 627,824 and 1,374,296

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Solution

The third proportional to 627,824 and 1,374,296 is: 3,008,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,824 : 1,374,296 = 1,374,296 : x
  2. Step 2: Convert to fraction form
    627,824/1,374,296 = 1,374,296/x
  3. Step 3: Cross multiply
    627,824x = 1,374,296 × 1,374,296
  4. Step 4: Simplify right side
    627,824x = 1,888,689,495,616
  5. Step 5: Solve for x
    x = 1,888,689,495,616/627,824
  6. Step 6: Final answer
    x = 3,008,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.