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Finding the Third Proportional to 432,546 and 949,296

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Solution

The third proportional to 432,546 and 949,296 is: 2,083,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,546 : 949,296 = 949,296 : x
  2. Step 2: Convert to fraction form
    432,546/949,296 = 949,296/x
  3. Step 3: Cross multiply
    432,546x = 949,296 × 949,296
  4. Step 4: Simplify right side
    432,546x = 901,162,895,616
  5. Step 5: Solve for x
    x = 901,162,895,616/432,546
  6. Step 6: Final answer
    x = 2,083,392.05

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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.