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Finding the Third Proportional to 967,452 and 2,259,164

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Solution

The third proportional to 967,452 and 2,259,164 is: 5,275,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,452 : 2,259,164 = 2,259,164 : x
  2. Step 2: Convert to fraction form
    967,452/2,259,164 = 2,259,164/x
  3. Step 3: Cross multiply
    967,452x = 2,259,164 × 2,259,164
  4. Step 4: Simplify right side
    967,452x = 5,103,821,978,896
  5. Step 5: Solve for x
    x = 5,103,821,978,896/967,452
  6. Step 6: Final answer
    x = 5,275,529.93

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.