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Finding the Third Proportional to 696,968 and 1,511,952

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Solution

The third proportional to 696,968 and 1,511,952 is: 3,279,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,968 : 1,511,952 = 1,511,952 : x
  2. Step 2: Convert to fraction form
    696,968/1,511,952 = 1,511,952/x
  3. Step 3: Cross multiply
    696,968x = 1,511,952 × 1,511,952
  4. Step 4: Simplify right side
    696,968x = 2,285,998,850,304
  5. Step 5: Solve for x
    x = 2,285,998,850,304/696,968
  6. Step 6: Final answer
    x = 3,279,919.38

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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.