Finding the Third Proportional to 902,123,748 and 1,435,471,142
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Solution
The third proportional to 902,123,748 and 1,435,471,142 is: 2,284,140,511.86
Step by Step Solution
- Step 1: Write the proportion equation
902,123,748 : 1,435,471,142 = 1,435,471,142 : x - Step 2: Convert to fraction form
902,123,748/1,435,471,142 = 1,435,471,142/x - Step 3: Cross multiply
902,123,748x = 1,435,471,142 × 1,435,471,142 - Step 4: Simplify right side
902,123,748x = 2,060,577,399,514,784,256 - Step 5: Solve for x
x = 2,060,577,399,514,784,256/902,123,748 - Step 6: Final answer
x = 2,284,140,511.86
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.