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Finding the Third Proportional to 4,213,088 and 6,356,912

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Solution

The third proportional to 4,213,088 and 6,356,912 is: 9,591,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,088 : 6,356,912 = 6,356,912 : x
  2. Step 2: Convert to fraction form
    4,213,088/6,356,912 = 6,356,912/x
  3. Step 3: Cross multiply
    4,213,088x = 6,356,912 × 6,356,912
  4. Step 4: Simplify right side
    4,213,088x = 40,410,330,175,744
  5. Step 5: Solve for x
    x = 40,410,330,175,744/4,213,088
  6. Step 6: Final answer
    x = 9,591,617.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.