Finding the Third Proportional to 400,905 and 864,012
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Solution
The third proportional to 400,905 and 864,012 is: 1,862,078.89
Step by Step Solution
- Step 1: Write the proportion equation
400,905 : 864,012 = 864,012 : x - Step 2: Convert to fraction form
400,905/864,012 = 864,012/x - Step 3: Cross multiply
400,905x = 864,012 × 864,012 - Step 4: Simplify right side
400,905x = 746,516,736,144 - Step 5: Solve for x
x = 746,516,736,144/400,905 - Step 6: Final answer
x = 1,862,078.89
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.