Finding the Third Proportional to 546,894 and 827,898
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Solution
The third proportional to 546,894 and 827,898 is: 1,253,286.92
Step by Step Solution
- Step 1: Write the proportion equation
546,894 : 827,898 = 827,898 : x - Step 2: Convert to fraction form
546,894/827,898 = 827,898/x - Step 3: Cross multiply
546,894x = 827,898 × 827,898 - Step 4: Simplify right side
546,894x = 685,415,098,404 - Step 5: Solve for x
x = 685,415,098,404/546,894 - Step 6: Final answer
x = 1,253,286.92
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.