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Finding the Third Proportional to 2,002,116 and 4,724,196

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Solution

The third proportional to 2,002,116 and 4,724,196 is: 11,147,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,116 : 4,724,196 = 4,724,196 : x
  2. Step 2: Convert to fraction form
    2,002,116/4,724,196 = 4,724,196/x
  3. Step 3: Cross multiply
    2,002,116x = 4,724,196 × 4,724,196
  4. Step 4: Simplify right side
    2,002,116x = 22,318,027,846,416
  5. Step 5: Solve for x
    x = 22,318,027,846,416/2,002,116
  6. Step 6: Final answer
    x = 11,147,220.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.