Finding the Third Proportional to 463,432 and 1,015,442
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Solution
The third proportional to 463,432 and 1,015,442 is: 2,224,970.34
Step by Step Solution
- Step 1: Write the proportion equation
463,432 : 1,015,442 = 1,015,442 : x - Step 2: Convert to fraction form
463,432/1,015,442 = 1,015,442/x - Step 3: Cross multiply
463,432x = 1,015,442 × 1,015,442 - Step 4: Simplify right side
463,432x = 1,031,122,455,364 - Step 5: Solve for x
x = 1,031,122,455,364/463,432 - Step 6: Final answer
x = 2,224,970.34
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.