Finding the Third Proportional to 453,742 and 978,194
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Solution
The third proportional to 453,742 and 978,194 is: 2,108,827.27
Step by Step Solution
- Step 1: Write the proportion equation
453,742 : 978,194 = 978,194 : x - Step 2: Convert to fraction form
453,742/978,194 = 978,194/x - Step 3: Cross multiply
453,742x = 978,194 × 978,194 - Step 4: Simplify right side
453,742x = 956,863,501,636 - Step 5: Solve for x
x = 956,863,501,636/453,742 - Step 6: Final answer
x = 2,108,827.27
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.