Finding the Third Proportional to 846 and 1,536
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Solution
The third proportional to 846 and 1,536 is: 2,788.77
Step by Step Solution
- Step 1: Write the proportion equation
846 : 1,536 = 1,536 : x - Step 2: Convert to fraction form
846/1,536 = 1,536/x - Step 3: Cross multiply
846x = 1,536 × 1,536 - Step 4: Simplify right side
846x = 2,359,296 - Step 5: Solve for x
x = 2,359,296/846 - Step 6: Final answer
x = 2,788.77
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These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.