Finding the Third Proportional to 820,315 and 1,283,902
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Solution
The third proportional to 820,315 and 1,283,902 is: 2,009,477.27
Step by Step Solution
- Step 1: Write the proportion equation
820,315 : 1,283,902 = 1,283,902 : x - Step 2: Convert to fraction form
820,315/1,283,902 = 1,283,902/x - Step 3: Cross multiply
820,315x = 1,283,902 × 1,283,902 - Step 4: Simplify right side
820,315x = 1,648,404,345,604 - Step 5: Solve for x
x = 1,648,404,345,604/820,315 - Step 6: Final answer
x = 2,009,477.27
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.