Finding the Third Proportional to 829,600 and 1,819,904
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Solution
The third proportional to 829,600 and 1,819,904 is: 3,992,346.39
Step by Step Solution
- Step 1: Write the proportion equation
829,600 : 1,819,904 = 1,819,904 : x - Step 2: Convert to fraction form
829,600/1,819,904 = 1,819,904/x - Step 3: Cross multiply
829,600x = 1,819,904 × 1,819,904 - Step 4: Simplify right side
829,600x = 3,312,050,569,216 - Step 5: Solve for x
x = 3,312,050,569,216/829,600 - Step 6: Final answer
x = 3,992,346.39
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.