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Finding the Third Proportional to 612,224 and 1,324,176

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Solution

The third proportional to 612,224 and 1,324,176 is: 2,864,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,224 : 1,324,176 = 1,324,176 : x
  2. Step 2: Convert to fraction form
    612,224/1,324,176 = 1,324,176/x
  3. Step 3: Cross multiply
    612,224x = 1,324,176 × 1,324,176
  4. Step 4: Simplify right side
    612,224x = 1,753,442,078,976
  5. Step 5: Solve for x
    x = 1,753,442,078,976/612,224
  6. Step 6: Final answer
    x = 2,864,053.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.