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Finding the Third Proportional to 618,042 and 956,857

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Solution

The third proportional to 618,042 and 956,857 is: 1,481,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,042 : 956,857 = 956,857 : x
  2. Step 2: Convert to fraction form
    618,042/956,857 = 956,857/x
  3. Step 3: Cross multiply
    618,042x = 956,857 × 956,857
  4. Step 4: Simplify right side
    618,042x = 915,575,318,449
  5. Step 5: Solve for x
    x = 915,575,318,449/618,042
  6. Step 6: Final answer
    x = 1,481,412.78

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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.