Finding the Third Proportional to 829,056 and 1,771,856
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Solution
The third proportional to 829,056 and 1,771,856 is: 3,786,805.34
Step by Step Solution
- Step 1: Write the proportion equation
829,056 : 1,771,856 = 1,771,856 : x - Step 2: Convert to fraction form
829,056/1,771,856 = 1,771,856/x - Step 3: Cross multiply
829,056x = 1,771,856 × 1,771,856 - Step 4: Simplify right side
829,056x = 3,139,473,684,736 - Step 5: Solve for x
x = 3,139,473,684,736/829,056 - Step 6: Final answer
x = 3,786,805.34
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.