Finding the Third Proportional to 427,464 and 923,454
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Solution
The third proportional to 427,464 and 923,454 is: 1,994,945.28
Step by Step Solution
- Step 1: Write the proportion equation
427,464 : 923,454 = 923,454 : x - Step 2: Convert to fraction form
427,464/923,454 = 923,454/x - Step 3: Cross multiply
427,464x = 923,454 × 923,454 - Step 4: Simplify right side
427,464x = 852,767,290,116 - Step 5: Solve for x
x = 852,767,290,116/427,464 - Step 6: Final answer
x = 1,994,945.28
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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.