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Finding the Third Proportional to 436,106 and 934,420

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Solution

The third proportional to 436,106 and 934,420 is: 2,002,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,106 : 934,420 = 934,420 : x
  2. Step 2: Convert to fraction form
    436,106/934,420 = 934,420/x
  3. Step 3: Cross multiply
    436,106x = 934,420 × 934,420
  4. Step 4: Simplify right side
    436,106x = 873,140,736,400
  5. Step 5: Solve for x
    x = 873,140,736,400/436,106
  6. Step 6: Final answer
    x = 2,002,129.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.