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Finding the Third Proportional to 1,821,330 and 2,672,946

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Solution

The third proportional to 1,821,330 and 2,672,946 is: 3,922,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,330 : 2,672,946 = 2,672,946 : x
  2. Step 2: Convert to fraction form
    1,821,330/2,672,946 = 2,672,946/x
  3. Step 3: Cross multiply
    1,821,330x = 2,672,946 × 2,672,946
  4. Step 4: Simplify right side
    1,821,330x = 7,144,640,318,916
  5. Step 5: Solve for x
    x = 7,144,640,318,916/1,821,330
  6. Step 6: Final answer
    x = 3,922,759.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.