Finding the Third Proportional to 785,544 and 1,724,016
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Solution
The third proportional to 785,544 and 1,724,016 is: 3,783,659.69
Step by Step Solution
- Step 1: Write the proportion equation
785,544 : 1,724,016 = 1,724,016 : x - Step 2: Convert to fraction form
785,544/1,724,016 = 1,724,016/x - Step 3: Cross multiply
785,544x = 1,724,016 × 1,724,016 - Step 4: Simplify right side
785,544x = 2,972,231,168,256 - Step 5: Solve for x
x = 2,972,231,168,256/785,544 - Step 6: Final answer
x = 3,783,659.69
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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.