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Finding the Third Proportional to 483,106 and 1,049,455

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Solution

The third proportional to 483,106 and 1,049,455 is: 2,279,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,106 : 1,049,455 = 1,049,455 : x
  2. Step 2: Convert to fraction form
    483,106/1,049,455 = 1,049,455/x
  3. Step 3: Cross multiply
    483,106x = 1,049,455 × 1,049,455
  4. Step 4: Simplify right side
    483,106x = 1,101,355,797,025
  5. Step 5: Solve for x
    x = 1,101,355,797,025/483,106
  6. Step 6: Final answer
    x = 2,279,739.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.