Finding the Third Proportional to 470,514 and 1,001,688
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Solution
The third proportional to 470,514 and 1,001,688 is: 2,132,516.46
Step by Step Solution
- Step 1: Write the proportion equation
470,514 : 1,001,688 = 1,001,688 : x - Step 2: Convert to fraction form
470,514/1,001,688 = 1,001,688/x - Step 3: Cross multiply
470,514x = 1,001,688 × 1,001,688 - Step 4: Simplify right side
470,514x = 1,003,378,849,344 - Step 5: Solve for x
x = 1,003,378,849,344/470,514 - Step 6: Final answer
x = 2,132,516.46
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.