Finding the Third Proportional to 429,412 and 943,784
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Solution
The third proportional to 429,412 and 943,784 is: 2,074,297.50
Step by Step Solution
- Step 1: Write the proportion equation
429,412 : 943,784 = 943,784 : x - Step 2: Convert to fraction form
429,412/943,784 = 943,784/x - Step 3: Cross multiply
429,412x = 943,784 × 943,784 - Step 4: Simplify right side
429,412x = 890,728,238,656 - Step 5: Solve for x
x = 890,728,238,656/429,412 - Step 6: Final answer
x = 2,074,297.50
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.