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Finding the Third Proportional to 1,285,823 and 2,800,228

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Solution

The third proportional to 1,285,823 and 2,800,228 is: 6,098,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,823 : 2,800,228 = 2,800,228 : x
  2. Step 2: Convert to fraction form
    1,285,823/2,800,228 = 2,800,228/x
  3. Step 3: Cross multiply
    1,285,823x = 2,800,228 × 2,800,228
  4. Step 4: Simplify right side
    1,285,823x = 7,841,276,851,984
  5. Step 5: Solve for x
    x = 7,841,276,851,984/1,285,823
  6. Step 6: Final answer
    x = 6,098,255.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.