Finding the Third Proportional to 1,412 and 2,034
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Solution
The third proportional to 1,412 and 2,034 is: 2,930.00
Step by Step Solution
- Step 1: Write the proportion equation
1,412 : 2,034 = 2,034 : x - Step 2: Convert to fraction form
1,412/2,034 = 2,034/x - Step 3: Cross multiply
1,412x = 2,034 × 2,034 - Step 4: Simplify right side
1,412x = 4,137,156 - Step 5: Solve for x
x = 4,137,156/1,412 - Step 6: Final answer
x = 2,930.00
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.