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Finding the Third Proportional to 2,139,198 and 4,662,225

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Solution

The third proportional to 2,139,198 and 4,662,225 is: 10,160,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,198 : 4,662,225 = 4,662,225 : x
  2. Step 2: Convert to fraction form
    2,139,198/4,662,225 = 4,662,225/x
  3. Step 3: Cross multiply
    2,139,198x = 4,662,225 × 4,662,225
  4. Step 4: Simplify right side
    2,139,198x = 21,736,341,950,625
  5. Step 5: Solve for x
    x = 21,736,341,950,625/2,139,198
  6. Step 6: Final answer
    x = 10,160,977.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.