Finding the Third Proportional to 545,728 and 841,920
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Solution
The third proportional to 545,728 and 841,920 is: 1,298,869.19
Step by Step Solution
- Step 1: Write the proportion equation
545,728 : 841,920 = 841,920 : x - Step 2: Convert to fraction form
545,728/841,920 = 841,920/x - Step 3: Cross multiply
545,728x = 841,920 × 841,920 - Step 4: Simplify right side
545,728x = 708,829,286,400 - Step 5: Solve for x
x = 708,829,286,400/545,728 - Step 6: Final answer
x = 1,298,869.19
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.