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Finding the Third Proportional to 799,200 and 1,672,280

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Solution

The third proportional to 799,200 and 1,672,280 is: 3,499,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,200 : 1,672,280 = 1,672,280 : x
  2. Step 2: Convert to fraction form
    799,200/1,672,280 = 1,672,280/x
  3. Step 3: Cross multiply
    799,200x = 1,672,280 × 1,672,280
  4. Step 4: Simplify right side
    799,200x = 2,796,520,398,400
  5. Step 5: Solve for x
    x = 2,796,520,398,400/799,200
  6. Step 6: Final answer
    x = 3,499,149.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.