Finding the Third Proportional to 675 and 1,206
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Solution
The third proportional to 675 and 1,206 is: 2,154.72
Step by Step Solution
- Step 1: Write the proportion equation
675 : 1,206 = 1,206 : x - Step 2: Convert to fraction form
675/1,206 = 1,206/x - Step 3: Cross multiply
675x = 1,206 × 1,206 - Step 4: Simplify right side
675x = 1,454,436 - Step 5: Solve for x
x = 1,454,436/675 - Step 6: Final answer
x = 2,154.72
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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.