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Finding the Third Proportional to 2,321,979 and 3,414,714

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Solution

The third proportional to 2,321,979 and 3,414,714 is: 5,021,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,979 : 3,414,714 = 3,414,714 : x
  2. Step 2: Convert to fraction form
    2,321,979/3,414,714 = 3,414,714/x
  3. Step 3: Cross multiply
    2,321,979x = 3,414,714 × 3,414,714
  4. Step 4: Simplify right side
    2,321,979x = 11,660,271,701,796
  5. Step 5: Solve for x
    x = 11,660,271,701,796/2,321,979
  6. Step 6: Final answer
    x = 5,021,695.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.