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Finding the Third Proportional to 610,414 and 1,325,912

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Solution

The third proportional to 610,414 and 1,325,912 is: 2,880,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,414 : 1,325,912 = 1,325,912 : x
  2. Step 2: Convert to fraction form
    610,414/1,325,912 = 1,325,912/x
  3. Step 3: Cross multiply
    610,414x = 1,325,912 × 1,325,912
  4. Step 4: Simplify right side
    610,414x = 1,758,042,631,744
  5. Step 5: Solve for x
    x = 1,758,042,631,744/610,414
  6. Step 6: Final answer
    x = 2,880,082.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.