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Finding the Third Proportional to 2,160,224 and 4,727,296

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Solution

The third proportional to 2,160,224 and 4,727,296 is: 10,344,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,224 : 4,727,296 = 4,727,296 : x
  2. Step 2: Convert to fraction form
    2,160,224/4,727,296 = 4,727,296/x
  3. Step 3: Cross multiply
    2,160,224x = 4,727,296 × 4,727,296
  4. Step 4: Simplify right side
    2,160,224x = 22,347,327,471,616
  5. Step 5: Solve for x
    x = 22,347,327,471,616/2,160,224
  6. Step 6: Final answer
    x = 10,344,912.13

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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.