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Finding the Third Proportional to 618,950 and 835,107

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Solution

The third proportional to 618,950 and 835,107 is: 1,126,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,950 : 835,107 = 835,107 : x
  2. Step 2: Convert to fraction form
    618,950/835,107 = 835,107/x
  3. Step 3: Cross multiply
    618,950x = 835,107 × 835,107
  4. Step 4: Simplify right side
    618,950x = 697,403,701,449
  5. Step 5: Solve for x
    x = 697,403,701,449/618,950
  6. Step 6: Final answer
    x = 1,126,752.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.