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Finding the Third Proportional to 2,143,738 and 4,463,886

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Solution

The third proportional to 2,143,738 and 4,463,886 is: 9,295,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,738 : 4,463,886 = 4,463,886 : x
  2. Step 2: Convert to fraction form
    2,143,738/4,463,886 = 4,463,886/x
  3. Step 3: Cross multiply
    2,143,738x = 4,463,886 × 4,463,886
  4. Step 4: Simplify right side
    2,143,738x = 19,926,278,220,996
  5. Step 5: Solve for x
    x = 19,926,278,220,996/2,143,738
  6. Step 6: Final answer
    x = 9,295,108.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.