Finding the Third Proportional to 419,856 and 899,610
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Solution
The third proportional to 419,856 and 899,610 is: 1,927,561.24
Step by Step Solution
- Step 1: Write the proportion equation
419,856 : 899,610 = 899,610 : x - Step 2: Convert to fraction form
419,856/899,610 = 899,610/x - Step 3: Cross multiply
419,856x = 899,610 × 899,610 - Step 4: Simplify right side
419,856x = 809,298,152,100 - Step 5: Solve for x
x = 809,298,152,100/419,856 - Step 6: Final answer
x = 1,927,561.24
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.