Finding the Third Proportional to 443,770 and 972,012
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Solution
The third proportional to 443,770 and 972,012 is: 2,129,047.32
Step by Step Solution
- Step 1: Write the proportion equation
443,770 : 972,012 = 972,012 : x - Step 2: Convert to fraction form
443,770/972,012 = 972,012/x - Step 3: Cross multiply
443,770x = 972,012 × 972,012 - Step 4: Simplify right side
443,770x = 944,807,328,144 - Step 5: Solve for x
x = 944,807,328,144/443,770 - Step 6: Final answer
x = 2,129,047.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.