Finding the Third Proportional to 542,740 and 797,838
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Solution
The third proportional to 542,740 and 797,838 is: 1,172,836.85
Step by Step Solution
- Step 1: Write the proportion equation
542,740 : 797,838 = 797,838 : x - Step 2: Convert to fraction form
542,740/797,838 = 797,838/x - Step 3: Cross multiply
542,740x = 797,838 × 797,838 - Step 4: Simplify right side
542,740x = 636,545,474,244 - Step 5: Solve for x
x = 636,545,474,244/542,740 - Step 6: Final answer
x = 1,172,836.85
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.