Finding the Third Proportional to 829,456 and 1,819,612
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Solution
The third proportional to 829,456 and 1,819,612 is: 3,991,758.25
Step by Step Solution
- Step 1: Write the proportion equation
829,456 : 1,819,612 = 1,819,612 : x - Step 2: Convert to fraction form
829,456/1,819,612 = 1,819,612/x - Step 3: Cross multiply
829,456x = 1,819,612 × 1,819,612 - Step 4: Simplify right side
829,456x = 3,310,987,830,544 - Step 5: Solve for x
x = 3,310,987,830,544/829,456 - Step 6: Final answer
x = 3,991,758.25
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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.