Finding the Third Proportional to 823,071 and 1,236,798
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Solution
The third proportional to 823,071 and 1,236,798 is: 1,858,490.09
Step by Step Solution
- Step 1: Write the proportion equation
823,071 : 1,236,798 = 1,236,798 : x - Step 2: Convert to fraction form
823,071/1,236,798 = 1,236,798/x - Step 3: Cross multiply
823,071x = 1,236,798 × 1,236,798 - Step 4: Simplify right side
823,071x = 1,529,669,292,804 - Step 5: Solve for x
x = 1,529,669,292,804/823,071 - Step 6: Final answer
x = 1,858,490.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.