Finding the Third Proportional to 825,622 and 1,162,656
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Solution
The third proportional to 825,622 and 1,162,656 is: 1,637,273.44
Step by Step Solution
- Step 1: Write the proportion equation
825,622 : 1,162,656 = 1,162,656 : x - Step 2: Convert to fraction form
825,622/1,162,656 = 1,162,656/x - Step 3: Cross multiply
825,622x = 1,162,656 × 1,162,656 - Step 4: Simplify right side
825,622x = 1,351,768,974,336 - Step 5: Solve for x
x = 1,351,768,974,336/825,622 - Step 6: Final answer
x = 1,637,273.44
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.