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Finding the Third Proportional to 511,800 and 1,082,656

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Solution

The third proportional to 511,800 and 1,082,656 is: 2,290,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800 : 1,082,656 = 1,082,656 : x
  2. Step 2: Convert to fraction form
    511,800/1,082,656 = 1,082,656/x
  3. Step 3: Cross multiply
    511,800x = 1,082,656 × 1,082,656
  4. Step 4: Simplify right side
    511,800x = 1,172,144,014,336
  5. Step 5: Solve for x
    x = 1,172,144,014,336/511,800
  6. Step 6: Final answer
    x = 2,290,238.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.