Finding the Third Proportional to 458,242 and 1,006,142
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Solution
The third proportional to 458,242 and 1,006,142 is: 2,209,142.17
Step by Step Solution
- Step 1: Write the proportion equation
458,242 : 1,006,142 = 1,006,142 : x - Step 2: Convert to fraction form
458,242/1,006,142 = 1,006,142/x - Step 3: Cross multiply
458,242x = 1,006,142 × 1,006,142 - Step 4: Simplify right side
458,242x = 1,012,321,724,164 - Step 5: Solve for x
x = 1,012,321,724,164/458,242 - Step 6: Final answer
x = 2,209,142.17
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.