Finding the Third Proportional to 496,002 and 1,102,212
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Solution
The third proportional to 496,002 and 1,102,212 is: 2,449,327.41
Step by Step Solution
- Step 1: Write the proportion equation
496,002 : 1,102,212 = 1,102,212 : x - Step 2: Convert to fraction form
496,002/1,102,212 = 1,102,212/x - Step 3: Cross multiply
496,002x = 1,102,212 × 1,102,212 - Step 4: Simplify right side
496,002x = 1,214,871,292,944 - Step 5: Solve for x
x = 1,214,871,292,944/496,002 - Step 6: Final answer
x = 2,449,327.41
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.