Finding the Third Proportional to 846 and 1,488
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Solution
The third proportional to 846 and 1,488 is: 2,617.19
Step by Step Solution
- Step 1: Write the proportion equation
846 : 1,488 = 1,488 : x - Step 2: Convert to fraction form
846/1,488 = 1,488/x - Step 3: Cross multiply
846x = 1,488 × 1,488 - Step 4: Simplify right side
846x = 2,214,144 - Step 5: Solve for x
x = 2,214,144/846 - Step 6: Final answer
x = 2,617.19
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.