Finding the Third Proportional to 542,982 and 1,169,204
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Solution
The third proportional to 542,982 and 1,169,204 is: 2,517,648.82
Step by Step Solution
- Step 1: Write the proportion equation
542,982 : 1,169,204 = 1,169,204 : x - Step 2: Convert to fraction form
542,982/1,169,204 = 1,169,204/x - Step 3: Cross multiply
542,982x = 1,169,204 × 1,169,204 - Step 4: Simplify right side
542,982x = 1,367,037,993,616 - Step 5: Solve for x
x = 1,367,037,993,616/542,982 - Step 6: Final answer
x = 2,517,648.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.