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Finding the Third Proportional to 483,474 and 1,047,300

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Solution

The third proportional to 483,474 and 1,047,300 is: 2,268,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,474 : 1,047,300 = 1,047,300 : x
  2. Step 2: Convert to fraction form
    483,474/1,047,300 = 1,047,300/x
  3. Step 3: Cross multiply
    483,474x = 1,047,300 × 1,047,300
  4. Step 4: Simplify right side
    483,474x = 1,096,837,290,000
  5. Step 5: Solve for x
    x = 1,096,837,290,000/483,474
  6. Step 6: Final answer
    x = 2,268,658.27

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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.