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Finding the Third Proportional to 972,224 and 2,135,680

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Solution

The third proportional to 972,224 and 2,135,680 is: 4,691,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,224 : 2,135,680 = 2,135,680 : x
  2. Step 2: Convert to fraction form
    972,224/2,135,680 = 2,135,680/x
  3. Step 3: Cross multiply
    972,224x = 2,135,680 × 2,135,680
  4. Step 4: Simplify right side
    972,224x = 4,561,129,062,400
  5. Step 5: Solve for x
    x = 4,561,129,062,400/972,224
  6. Step 6: Final answer
    x = 4,691,438.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.