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Finding the Third Proportional to 2,048,097 and 4,410,082

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Solution

The third proportional to 2,048,097 and 4,410,082 is: 9,496,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,097 : 4,410,082 = 4,410,082 : x
  2. Step 2: Convert to fraction form
    2,048,097/4,410,082 = 4,410,082/x
  3. Step 3: Cross multiply
    2,048,097x = 4,410,082 × 4,410,082
  4. Step 4: Simplify right side
    2,048,097x = 19,448,823,246,724
  5. Step 5: Solve for x
    x = 19,448,823,246,724/2,048,097
  6. Step 6: Final answer
    x = 9,496,045.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.