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Finding the Third Proportional to 1,285,824 and 2,800,230

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Solution

The third proportional to 1,285,824 and 2,800,230 is: 6,098,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,824 : 2,800,230 = 2,800,230 : x
  2. Step 2: Convert to fraction form
    1,285,824/2,800,230 = 2,800,230/x
  3. Step 3: Cross multiply
    1,285,824x = 2,800,230 × 2,800,230
  4. Step 4: Simplify right side
    1,285,824x = 7,841,288,052,900
  5. Step 5: Solve for x
    x = 7,841,288,052,900/1,285,824
  6. Step 6: Final answer
    x = 6,098,259.21

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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.