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Finding the Third Proportional to 618,828 and 957,384

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Solution

The third proportional to 618,828 and 957,384 is: 1,481,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,828 : 957,384 = 957,384 : x
  2. Step 2: Convert to fraction form
    618,828/957,384 = 957,384/x
  3. Step 3: Cross multiply
    618,828x = 957,384 × 957,384
  4. Step 4: Simplify right side
    618,828x = 916,584,123,456
  5. Step 5: Solve for x
    x = 916,584,123,456/618,828
  6. Step 6: Final answer
    x = 1,481,161.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.