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Finding the Third Proportional to 2,620,280 and 5,729,350

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Solution

The third proportional to 2,620,280 and 5,729,350 is: 12,527,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620,280 : 5,729,350 = 5,729,350 : x
  2. Step 2: Convert to fraction form
    2,620,280/5,729,350 = 5,729,350/x
  3. Step 3: Cross multiply
    2,620,280x = 5,729,350 × 5,729,350
  4. Step 4: Simplify right side
    2,620,280x = 32,825,451,422,500
  5. Step 5: Solve for x
    x = 32,825,451,422,500/2,620,280
  6. Step 6: Final answer
    x = 12,527,459.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.