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Finding the Third Proportional to 412,482.38 and 894,948.75

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Solution

The third proportional to 412,482.38 and 894,948.75 is: 1,941,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,482.38 : 894,948.75 = 894,948.75 : x
  2. Step 2: Convert to fraction form
    412,482.38/894,948.75 = 894,948.75/x
  3. Step 3: Cross multiply
    412,482.38x = 894,948.75 × 894,948.75
  4. Step 4: Simplify right side
    412,482.38x = 800,933,265,126.56
  5. Step 5: Solve for x
    x = 800,933,265,126.56/412,482.38
  6. Step 6: Final answer
    x = 1,941,739.37

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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.