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Finding the Third Proportional to 2,048,096 and 4,410,080

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Solution

The third proportional to 2,048,096 and 4,410,080 is: 9,496,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,096 : 4,410,080 = 4,410,080 : x
  2. Step 2: Convert to fraction form
    2,048,096/4,410,080 = 4,410,080/x
  3. Step 3: Cross multiply
    2,048,096x = 4,410,080 × 4,410,080
  4. Step 4: Simplify right side
    2,048,096x = 19,448,805,606,400
  5. Step 5: Solve for x
    x = 19,448,805,606,400/2,048,096
  6. Step 6: Final answer
    x = 9,496,041.99

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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.