Finding the Third Proportional to 500,649 and 1,036,786
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Solution
The third proportional to 500,649 and 1,036,786 is: 2,147,063.53
Step by Step Solution
- Step 1: Write the proportion equation
500,649 : 1,036,786 = 1,036,786 : x - Step 2: Convert to fraction form
500,649/1,036,786 = 1,036,786/x - Step 3: Cross multiply
500,649x = 1,036,786 × 1,036,786 - Step 4: Simplify right side
500,649x = 1,074,925,209,796 - Step 5: Solve for x
x = 1,074,925,209,796/500,649 - Step 6: Final answer
x = 2,147,063.53
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.