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Finding the Third Proportional to 517,220 and 1,096,632

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Solution

The third proportional to 517,220 and 1,096,632 is: 2,325,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,220 : 1,096,632 = 1,096,632 : x
  2. Step 2: Convert to fraction form
    517,220/1,096,632 = 1,096,632/x
  3. Step 3: Cross multiply
    517,220x = 1,096,632 × 1,096,632
  4. Step 4: Simplify right side
    517,220x = 1,202,601,743,424
  5. Step 5: Solve for x
    x = 1,202,601,743,424/517,220
  6. Step 6: Final answer
    x = 2,325,126.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.