Finding the Third Proportional to 402,408 and 870,426
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Solution
The third proportional to 402,408 and 870,426 is: 1,882,769.28
Step by Step Solution
- Step 1: Write the proportion equation
402,408 : 870,426 = 870,426 : x - Step 2: Convert to fraction form
402,408/870,426 = 870,426/x - Step 3: Cross multiply
402,408x = 870,426 × 870,426 - Step 4: Simplify right side
402,408x = 757,641,421,476 - Step 5: Solve for x
x = 757,641,421,476/402,408 - Step 6: Final answer
x = 1,882,769.28
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.