Finding the Third Proportional to 403,866 and 834,012
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Solution
The third proportional to 403,866 and 834,012 is: 1,722,294.07
Step by Step Solution
- Step 1: Write the proportion equation
403,866 : 834,012 = 834,012 : x - Step 2: Convert to fraction form
403,866/834,012 = 834,012/x - Step 3: Cross multiply
403,866x = 834,012 × 834,012 - Step 4: Simplify right side
403,866x = 695,576,016,144 - Step 5: Solve for x
x = 695,576,016,144/403,866 - Step 6: Final answer
x = 1,722,294.07
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.