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Finding the Third Proportional to 618,274 and 1,302,961

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Solution

The third proportional to 618,274 and 1,302,961 is: 2,745,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,274 : 1,302,961 = 1,302,961 : x
  2. Step 2: Convert to fraction form
    618,274/1,302,961 = 1,302,961/x
  3. Step 3: Cross multiply
    618,274x = 1,302,961 × 1,302,961
  4. Step 4: Simplify right side
    618,274x = 1,697,707,367,521
  5. Step 5: Solve for x
    x = 1,697,707,367,521/618,274
  6. Step 6: Final answer
    x = 2,745,881.87

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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.