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Finding the Third Proportional to 621,446 and 1,324,236

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Solution

The third proportional to 621,446 and 1,324,236 is: 2,821,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,446 : 1,324,236 = 1,324,236 : x
  2. Step 2: Convert to fraction form
    621,446/1,324,236 = 1,324,236/x
  3. Step 3: Cross multiply
    621,446x = 1,324,236 × 1,324,236
  4. Step 4: Simplify right side
    621,446x = 1,753,600,983,696
  5. Step 5: Solve for x
    x = 1,753,600,983,696/621,446
  6. Step 6: Final answer
    x = 2,821,807.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.