Finding the Third Proportional to 469,204.50 and 1,024,419
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Solution
The third proportional to 469,204.50 and 1,024,419 is: 2,236,624.52
Step by Step Solution
- Step 1: Write the proportion equation
469,204.50 : 1,024,419 = 1,024,419 : x - Step 2: Convert to fraction form
469,204.50/1,024,419 = 1,024,419/x - Step 3: Cross multiply
469,204.50x = 1,024,419 × 1,024,419 - Step 4: Simplify right side
469,204.50x = 1,049,434,287,561 - Step 5: Solve for x
x = 1,049,434,287,561/469,204.50 - Step 6: Final answer
x = 2,236,624.52
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.