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Finding the Third Proportional to 618,263 and 1,302,949

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Solution

The third proportional to 618,263 and 1,302,949 is: 2,745,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,263 : 1,302,949 = 1,302,949 : x
  2. Step 2: Convert to fraction form
    618,263/1,302,949 = 1,302,949/x
  3. Step 3: Cross multiply
    618,263x = 1,302,949 × 1,302,949
  4. Step 4: Simplify right side
    618,263x = 1,697,676,096,601
  5. Step 5: Solve for x
    x = 1,697,676,096,601/618,263
  6. Step 6: Final answer
    x = 2,745,880.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.