Finding the Third Proportional to 538,420 and 844,739
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Solution
The third proportional to 538,420 and 844,739 is: 1,325,329.63
Step by Step Solution
- Step 1: Write the proportion equation
538,420 : 844,739 = 844,739 : x - Step 2: Convert to fraction form
538,420/844,739 = 844,739/x - Step 3: Cross multiply
538,420x = 844,739 × 844,739 - Step 4: Simplify right side
538,420x = 713,583,978,121 - Step 5: Solve for x
x = 713,583,978,121/538,420 - Step 6: Final answer
x = 1,325,329.63
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.