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Finding the Third Proportional to 548,892 and 1,201,464

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Solution

The third proportional to 548,892 and 1,201,464 is: 2,629,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,892 : 1,201,464 = 1,201,464 : x
  2. Step 2: Convert to fraction form
    548,892/1,201,464 = 1,201,464/x
  3. Step 3: Cross multiply
    548,892x = 1,201,464 × 1,201,464
  4. Step 4: Simplify right side
    548,892x = 1,443,515,743,296
  5. Step 5: Solve for x
    x = 1,443,515,743,296/548,892
  6. Step 6: Final answer
    x = 2,629,872.08

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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.