Finding the Third Proportional to 524,801 and 1,086,943
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Solution
The third proportional to 524,801 and 1,086,943 is: 2,251,224.91
Step by Step Solution
- Step 1: Write the proportion equation
524,801 : 1,086,943 = 1,086,943 : x - Step 2: Convert to fraction form
524,801/1,086,943 = 1,086,943/x - Step 3: Cross multiply
524,801x = 1,086,943 × 1,086,943 - Step 4: Simplify right side
524,801x = 1,181,445,085,249 - Step 5: Solve for x
x = 1,181,445,085,249/524,801 - Step 6: Final answer
x = 2,251,224.91
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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.