Finding the Third Proportional to 500,459 and 1,036,407
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Solution
The third proportional to 500,459 and 1,036,407 is: 2,146,308.63
Step by Step Solution
- Step 1: Write the proportion equation
500,459 : 1,036,407 = 1,036,407 : x - Step 2: Convert to fraction form
500,459/1,036,407 = 1,036,407/x - Step 3: Cross multiply
500,459x = 1,036,407 × 1,036,407 - Step 4: Simplify right side
500,459x = 1,074,139,469,649 - Step 5: Solve for x
x = 1,074,139,469,649/500,459 - Step 6: Final answer
x = 2,146,308.63
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.