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Finding the Third Proportional to 2,019,956 and 4,419,964

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Solution

The third proportional to 2,019,956 and 4,419,964 is: 9,671,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,956 : 4,419,964 = 4,419,964 : x
  2. Step 2: Convert to fraction form
    2,019,956/4,419,964 = 4,419,964/x
  3. Step 3: Cross multiply
    2,019,956x = 4,419,964 × 4,419,964
  4. Step 4: Simplify right side
    2,019,956x = 19,536,081,761,296
  5. Step 5: Solve for x
    x = 19,536,081,761,296/2,019,956
  6. Step 6: Final answer
    x = 9,671,538.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.