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Finding the Third Proportional to 696,980 and 1,511,976

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Solution

The third proportional to 696,980 and 1,511,976 is: 3,279,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,980 : 1,511,976 = 1,511,976 : x
  2. Step 2: Convert to fraction form
    696,980/1,511,976 = 1,511,976/x
  3. Step 3: Cross multiply
    696,980x = 1,511,976 × 1,511,976
  4. Step 4: Simplify right side
    696,980x = 2,286,071,424,576
  5. Step 5: Solve for x
    x = 2,286,071,424,576/696,980
  6. Step 6: Final answer
    x = 3,279,967.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.