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Finding the Third Proportional to 2,968,992 and 6,617,952

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Solution

The third proportional to 2,968,992 and 6,617,952 is: 14,751,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968,992 : 6,617,952 = 6,617,952 : x
  2. Step 2: Convert to fraction form
    2,968,992/6,617,952 = 6,617,952/x
  3. Step 3: Cross multiply
    2,968,992x = 6,617,952 × 6,617,952
  4. Step 4: Simplify right side
    2,968,992x = 43,797,288,674,304
  5. Step 5: Solve for x
    x = 43,797,288,674,304/2,968,992
  6. Step 6: Final answer
    x = 14,751,568.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.