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Finding the Third Proportional to 1,285,969.50 and 2,800,521

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Solution

The third proportional to 1,285,969.50 and 2,800,521 is: 6,098,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,969.50 : 2,800,521 = 2,800,521 : x
  2. Step 2: Convert to fraction form
    1,285,969.50/2,800,521 = 2,800,521/x
  3. Step 3: Cross multiply
    1,285,969.50x = 2,800,521 × 2,800,521
  4. Step 4: Simplify right side
    1,285,969.50x = 7,842,917,871,441
  5. Step 5: Solve for x
    x = 7,842,917,871,441/1,285,969.50
  6. Step 6: Final answer
    x = 6,098,836.61

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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.