Finding the Third Proportional to 1,124 and 2,428
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Solution
The third proportional to 1,124 and 2,428 is: 5,244.83
Step by Step Solution
- Step 1: Write the proportion equation
1,124 : 2,428 = 2,428 : x - Step 2: Convert to fraction form
1,124/2,428 = 2,428/x - Step 3: Cross multiply
1,124x = 2,428 × 2,428 - Step 4: Simplify right side
1,124x = 5,895,184 - Step 5: Solve for x
x = 5,895,184/1,124 - Step 6: Final answer
x = 5,244.83
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.