Finding the Third Proportional to 409,588 and 897,910
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Solution
The third proportional to 409,588 and 897,910 is: 1,968,422.83
Step by Step Solution
- Step 1: Write the proportion equation
409,588 : 897,910 = 897,910 : x - Step 2: Convert to fraction form
409,588/897,910 = 897,910/x - Step 3: Cross multiply
409,588x = 897,910 × 897,910 - Step 4: Simplify right side
409,588x = 806,242,368,100 - Step 5: Solve for x
x = 806,242,368,100/409,588 - Step 6: Final answer
x = 1,968,422.83
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.