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Finding the Third Proportional to 511,812 and 1,101,384

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Solution

The third proportional to 511,812 and 1,101,384 is: 2,370,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,812 : 1,101,384 = 1,101,384 : x
  2. Step 2: Convert to fraction form
    511,812/1,101,384 = 1,101,384/x
  3. Step 3: Cross multiply
    511,812x = 1,101,384 × 1,101,384
  4. Step 4: Simplify right side
    511,812x = 1,213,046,715,456
  5. Step 5: Solve for x
    x = 1,213,046,715,456/511,812
  6. Step 6: Final answer
    x = 2,370,102.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.