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Finding the Third Proportional to 548,349 and 1,269,333

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Solution

The third proportional to 548,349 and 1,269,333 is: 2,938,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,349 : 1,269,333 = 1,269,333 : x
  2. Step 2: Convert to fraction form
    548,349/1,269,333 = 1,269,333/x
  3. Step 3: Cross multiply
    548,349x = 1,269,333 × 1,269,333
  4. Step 4: Simplify right side
    548,349x = 1,611,206,264,889
  5. Step 5: Solve for x
    x = 1,611,206,264,889/548,349
  6. Step 6: Final answer
    x = 2,938,286.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.