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Finding the Third Proportional to 432,720 and 948,474

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Solution

The third proportional to 432,720 and 948,474 is: 2,078,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,720 : 948,474 = 948,474 : x
  2. Step 2: Convert to fraction form
    432,720/948,474 = 948,474/x
  3. Step 3: Cross multiply
    432,720x = 948,474 × 948,474
  4. Step 4: Simplify right side
    432,720x = 899,602,928,676
  5. Step 5: Solve for x
    x = 899,602,928,676/432,720
  6. Step 6: Final answer
    x = 2,078,949.27

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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.