Finding the Third Proportional to 780,224 and 1,676,844
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Solution
The third proportional to 780,224 and 1,676,844 is: 3,603,844.28
Step by Step Solution
- Step 1: Write the proportion equation
780,224 : 1,676,844 = 1,676,844 : x - Step 2: Convert to fraction form
780,224/1,676,844 = 1,676,844/x - Step 3: Cross multiply
780,224x = 1,676,844 × 1,676,844 - Step 4: Simplify right side
780,224x = 2,811,805,800,336 - Step 5: Solve for x
x = 2,811,805,800,336/780,224 - Step 6: Final answer
x = 3,603,844.28
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.