Finding the Third Proportional to 1,138,132,380 and 1,707,198,567
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Solution
The third proportional to 1,138,132,380 and 1,707,198,567 is: 2,560,797,846
Step by Step Solution
- Step 1: Write the proportion equation
1,138,132,380 : 1,707,198,567 = 1,707,198,567 : x - Step 2: Convert to fraction form
1,138,132,380/1,707,198,567 = 1,707,198,567/x - Step 3: Cross multiply
1,138,132,380x = 1,707,198,567 × 1,707,198,567 - Step 4: Simplify right side
1,138,132,380x = 2,914,526,947,166,853,632 - Step 5: Solve for x
x = 2,914,526,947,166,853,632/1,138,132,380 - Step 6: Final answer
x = 2,560,797,846
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.