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Finding the Third Proportional to 511,504 and 1,116,304

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Solution

The third proportional to 511,504 and 1,116,304 is: 2,436,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,504 : 1,116,304 = 1,116,304 : x
  2. Step 2: Convert to fraction form
    511,504/1,116,304 = 1,116,304/x
  3. Step 3: Cross multiply
    511,504x = 1,116,304 × 1,116,304
  4. Step 4: Simplify right side
    511,504x = 1,246,134,620,416
  5. Step 5: Solve for x
    x = 1,246,134,620,416/511,504
  6. Step 6: Final answer
    x = 2,436,216.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.