Finding the Third Proportional to 456,392 and 1,017,724
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Solution
The third proportional to 456,392 and 1,017,724 is: 2,269,457.27
Step by Step Solution
- Step 1: Write the proportion equation
456,392 : 1,017,724 = 1,017,724 : x - Step 2: Convert to fraction form
456,392/1,017,724 = 1,017,724/x - Step 3: Cross multiply
456,392x = 1,017,724 × 1,017,724 - Step 4: Simplify right side
456,392x = 1,035,762,140,176 - Step 5: Solve for x
x = 1,035,762,140,176/456,392 - Step 6: Final answer
x = 2,269,457.27
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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.