Finding the Third Proportional to 970,680 and 1,469,596
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Solution
The third proportional to 970,680 and 1,469,596 is: 2,224,947.87
Step by Step Solution
- Step 1: Write the proportion equation
970,680 : 1,469,596 = 1,469,596 : x - Step 2: Convert to fraction form
970,680/1,469,596 = 1,469,596/x - Step 3: Cross multiply
970,680x = 1,469,596 × 1,469,596 - Step 4: Simplify right side
970,680x = 2,159,712,403,216 - Step 5: Solve for x
x = 2,159,712,403,216/970,680 - Step 6: Final answer
x = 2,224,947.87
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.