Finding the Third Proportional to 923,980 and 1,382,196
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Solution
The third proportional to 923,980 and 1,382,196 is: 2,067,648.41
Step by Step Solution
- Step 1: Write the proportion equation
923,980 : 1,382,196 = 1,382,196 : x - Step 2: Convert to fraction form
923,980/1,382,196 = 1,382,196/x - Step 3: Cross multiply
923,980x = 1,382,196 × 1,382,196 - Step 4: Simplify right side
923,980x = 1,910,465,782,416 - Step 5: Solve for x
x = 1,910,465,782,416/923,980 - Step 6: Final answer
x = 2,067,648.41
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.