Finding the Third Proportional to 465,802 and 998,004
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Solution
The third proportional to 465,802 and 998,004 is: 2,138,273.31
Step by Step Solution
- Step 1: Write the proportion equation
465,802 : 998,004 = 998,004 : x - Step 2: Convert to fraction form
465,802/998,004 = 998,004/x - Step 3: Cross multiply
465,802x = 998,004 × 998,004 - Step 4: Simplify right side
465,802x = 996,011,984,016 - Step 5: Solve for x
x = 996,011,984,016/465,802 - Step 6: Final answer
x = 2,138,273.31
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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.