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Finding the Third Proportional to 436,150 and 925,120

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Solution

The third proportional to 436,150 and 925,120 is: 1,962,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,150 : 925,120 = 925,120 : x
  2. Step 2: Convert to fraction form
    436,150/925,120 = 925,120/x
  3. Step 3: Cross multiply
    436,150x = 925,120 × 925,120
  4. Step 4: Simplify right side
    436,150x = 855,847,014,400
  5. Step 5: Solve for x
    x = 855,847,014,400/436,150
  6. Step 6: Final answer
    x = 1,962,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.