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Finding the Third Proportional to 2,232,198 and 4,817,961

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Solution

The third proportional to 2,232,198 and 4,817,961 is: 10,399,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,198 : 4,817,961 = 4,817,961 : x
  2. Step 2: Convert to fraction form
    2,232,198/4,817,961 = 4,817,961/x
  3. Step 3: Cross multiply
    2,232,198x = 4,817,961 × 4,817,961
  4. Step 4: Simplify right side
    2,232,198x = 23,212,748,197,521
  5. Step 5: Solve for x
    x = 23,212,748,197,521/2,232,198
  6. Step 6: Final answer
    x = 10,399,054.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.