Finding the Third Proportional to 814,108 and 1,196,785
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Solution
The third proportional to 814,108 and 1,196,785 is: 1,759,341.93
Step by Step Solution
- Step 1: Write the proportion equation
814,108 : 1,196,785 = 1,196,785 : x - Step 2: Convert to fraction form
814,108/1,196,785 = 1,196,785/x - Step 3: Cross multiply
814,108x = 1,196,785 × 1,196,785 - Step 4: Simplify right side
814,108x = 1,432,294,336,225 - Step 5: Solve for x
x = 1,432,294,336,225/814,108 - Step 6: Final answer
x = 1,759,341.93
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.