Finding the Third Proportional to 413,226 and 905,076
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Solution
The third proportional to 413,226 and 905,076 is: 1,982,359.69
Step by Step Solution
- Step 1: Write the proportion equation
413,226 : 905,076 = 905,076 : x - Step 2: Convert to fraction form
413,226/905,076 = 905,076/x - Step 3: Cross multiply
413,226x = 905,076 × 905,076 - Step 4: Simplify right side
413,226x = 819,162,565,776 - Step 5: Solve for x
x = 819,162,565,776/413,226 - Step 6: Final answer
x = 1,982,359.69
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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.