Finding the Third Proportional to 829,706 and 1,820,116
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Solution
The third proportional to 829,706 and 1,820,116 is: 3,992,766.42
Step by Step Solution
- Step 1: Write the proportion equation
829,706 : 1,820,116 = 1,820,116 : x - Step 2: Convert to fraction form
829,706/1,820,116 = 1,820,116/x - Step 3: Cross multiply
829,706x = 1,820,116 × 1,820,116 - Step 4: Simplify right side
829,706x = 3,312,822,253,456 - Step 5: Solve for x
x = 3,312,822,253,456/829,706 - Step 6: Final answer
x = 3,992,766.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.