Finding the Third Proportional to 424,824,759 and 656,103,659
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Solution
The third proportional to 424,824,759 and 656,103,659 is: 1,013,293,133.78
Step by Step Solution
- Step 1: Write the proportion equation
424,824,759 : 656,103,659 = 656,103,659 : x - Step 2: Convert to fraction form
424,824,759/656,103,659 = 656,103,659/x - Step 3: Cross multiply
424,824,759x = 656,103,659 × 656,103,659 - Step 4: Simplify right side
424,824,759x = 430,472,011,353,188,288 - Step 5: Solve for x
x = 430,472,011,353,188,288/424,824,759 - Step 6: Final answer
x = 1,013,293,133.78
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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.