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Finding the Third Proportional to 511,874 and 1,196,219

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Solution

The third proportional to 511,874 and 1,196,219 is: 2,795,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,874 : 1,196,219 = 1,196,219 : x
  2. Step 2: Convert to fraction form
    511,874/1,196,219 = 1,196,219/x
  3. Step 3: Cross multiply
    511,874x = 1,196,219 × 1,196,219
  4. Step 4: Simplify right side
    511,874x = 1,430,939,895,961
  5. Step 5: Solve for x
    x = 1,430,939,895,961/511,874
  6. Step 6: Final answer
    x = 2,795,492.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.