Finding the Third Proportional to 410,417,202,517 and 882,600,782,738
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Solution
The third proportional to 410,417,202,517 and 882,600,782,738 is: 1,898,029,948,336.45
Step by Step Solution
- Step 1: Write the proportion equation
410,417,202,517 : 882,600,782,738 = 882,600,782,738 : x - Step 2: Convert to fraction form
410,417,202,517/882,600,782,738 = 882,600,782,738/x - Step 3: Cross multiply
410,417,202,517x = 882,600,782,738 × 882,600,782,738 - Step 4: Simplify right side
410,417,202,517x = 778,984,141,689,730,342,322,176 - Step 5: Solve for x
x = 778,984,141,689,730,342,322,176/410,417,202,517 - Step 6: Final answer
x = 1,898,029,948,336.45
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.