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Finding the Third Proportional to 945,224 and 2,074,176

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Solution

The third proportional to 945,224 and 2,074,176 is: 4,551,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,224 : 2,074,176 = 2,074,176 : x
  2. Step 2: Convert to fraction form
    945,224/2,074,176 = 2,074,176/x
  3. Step 3: Cross multiply
    945,224x = 2,074,176 × 2,074,176
  4. Step 4: Simplify right side
    945,224x = 4,302,206,078,976
  5. Step 5: Solve for x
    x = 4,302,206,078,976/945,224
  6. Step 6: Final answer
    x = 4,551,520.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.