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Finding the Third Proportional to 436,200 and 941,340

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Solution

The third proportional to 436,200 and 941,340 is: 2,031,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,200 : 941,340 = 941,340 : x
  2. Step 2: Convert to fraction form
    436,200/941,340 = 941,340/x
  3. Step 3: Cross multiply
    436,200x = 941,340 × 941,340
  4. Step 4: Simplify right side
    436,200x = 886,120,995,600
  5. Step 5: Solve for x
    x = 886,120,995,600/436,200
  6. Step 6: Final answer
    x = 2,031,455.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.