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Finding the Third Proportional to 434,824 and 949,352

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Solution

The third proportional to 434,824 and 949,352 is: 2,072,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,824 : 949,352 = 949,352 : x
  2. Step 2: Convert to fraction form
    434,824/949,352 = 949,352/x
  3. Step 3: Cross multiply
    434,824x = 949,352 × 949,352
  4. Step 4: Simplify right side
    434,824x = 901,269,219,904
  5. Step 5: Solve for x
    x = 901,269,219,904/434,824
  6. Step 6: Final answer
    x = 2,072,721.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.