Finding the Third Proportional to 419,422 and 912,571
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Solution
The third proportional to 419,422 and 912,571 is: 1,985,555.91
Step by Step Solution
- Step 1: Write the proportion equation
419,422 : 912,571 = 912,571 : x - Step 2: Convert to fraction form
419,422/912,571 = 912,571/x - Step 3: Cross multiply
419,422x = 912,571 × 912,571 - Step 4: Simplify right side
419,422x = 832,785,830,041 - Step 5: Solve for x
x = 832,785,830,041/419,422 - Step 6: Final answer
x = 1,985,555.91
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.