Finding the Third Proportional to 828,423 and 1,811,910
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Solution
The third proportional to 828,423 and 1,811,910 is: 3,962,972.84
Step by Step Solution
- Step 1: Write the proportion equation
828,423 : 1,811,910 = 1,811,910 : x - Step 2: Convert to fraction form
828,423/1,811,910 = 1,811,910/x - Step 3: Cross multiply
828,423x = 1,811,910 × 1,811,910 - Step 4: Simplify right side
828,423x = 3,283,017,848,100 - Step 5: Solve for x
x = 3,283,017,848,100/828,423 - Step 6: Final answer
x = 3,962,972.84
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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.