Finding the Third Proportional to 420,852 and 902,004
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Solution
The third proportional to 420,852 and 902,004 is: 1,933,247.83
Step by Step Solution
- Step 1: Write the proportion equation
420,852 : 902,004 = 902,004 : x - Step 2: Convert to fraction form
420,852/902,004 = 902,004/x - Step 3: Cross multiply
420,852x = 902,004 × 902,004 - Step 4: Simplify right side
420,852x = 813,611,216,016 - Step 5: Solve for x
x = 813,611,216,016/420,852 - Step 6: Final answer
x = 1,933,247.83
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.