Finding the Third Proportional to 460,538 and 1,028,140
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Solution
The third proportional to 460,538 and 1,028,140 is: 2,295,297.80
Step by Step Solution
- Step 1: Write the proportion equation
460,538 : 1,028,140 = 1,028,140 : x - Step 2: Convert to fraction form
460,538/1,028,140 = 1,028,140/x - Step 3: Cross multiply
460,538x = 1,028,140 × 1,028,140 - Step 4: Simplify right side
460,538x = 1,057,071,859,600 - Step 5: Solve for x
x = 1,057,071,859,600/460,538 - Step 6: Final answer
x = 2,295,297.80
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.