Finding the Third Proportional to 976,326 and 1,460,953
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Solution
The third proportional to 976,326 and 1,460,953 is: 2,186,138.31
Step by Step Solution
- Step 1: Write the proportion equation
976,326 : 1,460,953 = 1,460,953 : x - Step 2: Convert to fraction form
976,326/1,460,953 = 1,460,953/x - Step 3: Cross multiply
976,326x = 1,460,953 × 1,460,953 - Step 4: Simplify right side
976,326x = 2,134,383,668,209 - Step 5: Solve for x
x = 2,134,383,668,209/976,326 - Step 6: Final answer
x = 2,186,138.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.