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Finding the Third Proportional to 632,512 and 1,335,620

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Solution

The third proportional to 632,512 and 1,335,620 is: 2,820,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,512 : 1,335,620 = 1,335,620 : x
  2. Step 2: Convert to fraction form
    632,512/1,335,620 = 1,335,620/x
  3. Step 3: Cross multiply
    632,512x = 1,335,620 × 1,335,620
  4. Step 4: Simplify right side
    632,512x = 1,783,880,784,400
  5. Step 5: Solve for x
    x = 1,783,880,784,400/632,512
  6. Step 6: Final answer
    x = 2,820,311.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.