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Finding the Third Proportional to 2,019,832 and 4,425,912

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Solution

The third proportional to 2,019,832 and 4,425,912 is: 9,698,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,832 : 4,425,912 = 4,425,912 : x
  2. Step 2: Convert to fraction form
    2,019,832/4,425,912 = 4,425,912/x
  3. Step 3: Cross multiply
    2,019,832x = 4,425,912 × 4,425,912
  4. Step 4: Simplify right side
    2,019,832x = 19,588,697,031,744
  5. Step 5: Solve for x
    x = 19,588,697,031,744/2,019,832
  6. Step 6: Final answer
    x = 9,698,181.35

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Why These Related Problems?

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