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Finding the Third Proportional to 2,727,600 and 4,091,400

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Solution

The third proportional to 2,727,600 and 4,091,400 is: 6,137,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,600 : 4,091,400 = 4,091,400 : x
  2. Step 2: Convert to fraction form
    2,727,600/4,091,400 = 4,091,400/x
  3. Step 3: Cross multiply
    2,727,600x = 4,091,400 × 4,091,400
  4. Step 4: Simplify right side
    2,727,600x = 16,739,553,960,000
  5. Step 5: Solve for x
    x = 16,739,553,960,000/2,727,600
  6. Step 6: Final answer
    x = 6,137,100

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.