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Finding the Third Proportional to 1,260,000 and 2,764,962

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Solution

The third proportional to 1,260,000 and 2,764,962 is: 6,067,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,000 : 2,764,962 = 2,764,962 : x
  2. Step 2: Convert to fraction form
    1,260,000/2,764,962 = 2,764,962/x
  3. Step 3: Cross multiply
    1,260,000x = 2,764,962 × 2,764,962
  4. Step 4: Simplify right side
    1,260,000x = 7,645,014,861,444
  5. Step 5: Solve for x
    x = 7,645,014,861,444/1,260,000
  6. Step 6: Final answer
    x = 6,067,472.11

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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.