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Finding the Third Proportional to 869,771 and 1,224,831

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Solution

The third proportional to 869,771 and 1,224,831 is: 1,724,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,771 : 1,224,831 = 1,224,831 : x
  2. Step 2: Convert to fraction form
    869,771/1,224,831 = 1,224,831/x
  3. Step 3: Cross multiply
    869,771x = 1,224,831 × 1,224,831
  4. Step 4: Simplify right side
    869,771x = 1,500,210,978,561
  5. Step 5: Solve for x
    x = 1,500,210,978,561/869,771
  6. Step 6: Final answer
    x = 1,724,834.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.