Finding the Third Proportional to 465,804 and 998,016
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Solution
The third proportional to 465,804 and 998,016 is: 2,138,315.55
Step by Step Solution
- Step 1: Write the proportion equation
465,804 : 998,016 = 998,016 : x - Step 2: Convert to fraction form
465,804/998,016 = 998,016/x - Step 3: Cross multiply
465,804x = 998,016 × 998,016 - Step 4: Simplify right side
465,804x = 996,035,936,256 - Step 5: Solve for x
x = 996,035,936,256/465,804 - Step 6: Final answer
x = 2,138,315.55
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.