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Finding the Third Proportional to 483,475 and 1,047,302

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Solution

The third proportional to 483,475 and 1,047,302 is: 2,268,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,475 : 1,047,302 = 1,047,302 : x
  2. Step 2: Convert to fraction form
    483,475/1,047,302 = 1,047,302/x
  3. Step 3: Cross multiply
    483,475x = 1,047,302 × 1,047,302
  4. Step 4: Simplify right side
    483,475x = 1,096,841,479,204
  5. Step 5: Solve for x
    x = 1,096,841,479,204/483,475
  6. Step 6: Final answer
    x = 2,268,662.25

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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.