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Finding the Third Proportional to 2,048,472 and 4,410,768

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Solution

The third proportional to 2,048,472 and 4,410,768 is: 9,497,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,472 : 4,410,768 = 4,410,768 : x
  2. Step 2: Convert to fraction form
    2,048,472/4,410,768 = 4,410,768/x
  3. Step 3: Cross multiply
    2,048,472x = 4,410,768 × 4,410,768
  4. Step 4: Simplify right side
    2,048,472x = 19,454,874,349,824
  5. Step 5: Solve for x
    x = 19,454,874,349,824/2,048,472
  6. Step 6: Final answer
    x = 9,497,261.54

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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.