Finding the Third Proportional to 472,914 and 1,037,724
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Solution
The third proportional to 472,914 and 1,037,724 is: 2,277,097.10
Step by Step Solution
- Step 1: Write the proportion equation
472,914 : 1,037,724 = 1,037,724 : x - Step 2: Convert to fraction form
472,914/1,037,724 = 1,037,724/x - Step 3: Cross multiply
472,914x = 1,037,724 × 1,037,724 - Step 4: Simplify right side
472,914x = 1,076,871,100,176 - Step 5: Solve for x
x = 1,076,871,100,176/472,914 - Step 6: Final answer
x = 2,277,097.10
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.