Finding the Third Proportional to 419,352 and 905,456
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Solution
The third proportional to 419,352 and 905,456 is: 1,955,041.51
Step by Step Solution
- Step 1: Write the proportion equation
419,352 : 905,456 = 905,456 : x - Step 2: Convert to fraction form
419,352/905,456 = 905,456/x - Step 3: Cross multiply
419,352x = 905,456 × 905,456 - Step 4: Simplify right side
419,352x = 819,850,567,936 - Step 5: Solve for x
x = 819,850,567,936/419,352 - Step 6: Final answer
x = 1,955,041.51
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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.