Finding the Third Proportional to 1,206 and 2,814
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Solution
The third proportional to 1,206 and 2,814 is: 6,566
Step by Step Solution
- Step 1: Write the proportion equation
1,206 : 2,814 = 2,814 : x - Step 2: Convert to fraction form
1,206/2,814 = 2,814/x - Step 3: Cross multiply
1,206x = 2,814 × 2,814 - Step 4: Simplify right side
1,206x = 7,918,596 - Step 5: Solve for x
x = 7,918,596/1,206 - Step 6: Final answer
x = 6,566
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.