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Finding the Third Proportional to 4,051,224 and 6,270,912

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Solution

The third proportional to 4,051,224 and 6,270,912 is: 9,706,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,224 : 6,270,912 = 6,270,912 : x
  2. Step 2: Convert to fraction form
    4,051,224/6,270,912 = 6,270,912/x
  3. Step 3: Cross multiply
    4,051,224x = 6,270,912 × 6,270,912
  4. Step 4: Simplify right side
    4,051,224x = 39,324,337,311,744
  5. Step 5: Solve for x
    x = 39,324,337,311,744/4,051,224
  6. Step 6: Final answer
    x = 9,706,779.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.