Finding the Third Proportional to 931,160 and 1,423,814
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Solution
The third proportional to 931,160 and 1,423,814 is: 2,177,119.19
Step by Step Solution
- Step 1: Write the proportion equation
931,160 : 1,423,814 = 1,423,814 : x - Step 2: Convert to fraction form
931,160/1,423,814 = 1,423,814/x - Step 3: Cross multiply
931,160x = 1,423,814 × 1,423,814 - Step 4: Simplify right side
931,160x = 2,027,246,306,596 - Step 5: Solve for x
x = 2,027,246,306,596/931,160 - Step 6: Final answer
x = 2,177,119.19
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.