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Finding the Third Proportional to 405,069 and 886,422

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Solution

The third proportional to 405,069 and 886,422 is: 1,939,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,069 : 886,422 = 886,422 : x
  2. Step 2: Convert to fraction form
    405,069/886,422 = 886,422/x
  3. Step 3: Cross multiply
    405,069x = 886,422 × 886,422
  4. Step 4: Simplify right side
    405,069x = 785,743,962,084
  5. Step 5: Solve for x
    x = 785,743,962,084/405,069
  6. Step 6: Final answer
    x = 1,939,778.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.