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Finding the Third Proportional to 2,309,797 and 4,765,961

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Solution

The third proportional to 2,309,797 and 4,765,961 is: 9,833,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,797 : 4,765,961 = 4,765,961 : x
  2. Step 2: Convert to fraction form
    2,309,797/4,765,961 = 4,765,961/x
  3. Step 3: Cross multiply
    2,309,797x = 4,765,961 × 4,765,961
  4. Step 4: Simplify right side
    2,309,797x = 22,714,384,253,521
  5. Step 5: Solve for x
    x = 22,714,384,253,521/2,309,797
  6. Step 6: Final answer
    x = 9,833,930.97

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.