Finding the Third Proportional to 427,308 and 923,142
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Solution
The third proportional to 427,308 and 923,142 is: 1,994,325.29
Step by Step Solution
- Step 1: Write the proportion equation
427,308 : 923,142 = 923,142 : x - Step 2: Convert to fraction form
427,308/923,142 = 923,142/x - Step 3: Cross multiply
427,308x = 923,142 × 923,142 - Step 4: Simplify right side
427,308x = 852,191,152,164 - Step 5: Solve for x
x = 852,191,152,164/427,308 - Step 6: Final answer
x = 1,994,325.29
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.