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Finding the Third Proportional to 837,469.13 and 1,021,177.13

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Solution

The third proportional to 837,469.13 and 1,021,177.13 is: 1,245,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,469.13 : 1,021,177.13 = 1,021,177.13 : x
  2. Step 2: Convert to fraction form
    837,469.13/1,021,177.13 = 1,021,177.13/x
  3. Step 3: Cross multiply
    837,469.13x = 1,021,177.13 × 1,021,177.13
  4. Step 4: Simplify right side
    837,469.13x = 1,042,802,720,623.27
  5. Step 5: Solve for x
    x = 1,042,802,720,623.27/837,469.13
  6. Step 6: Final answer
    x = 1,245,183.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.