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Finding the Third Proportional to 429,390 and 925,756

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Solution

The third proportional to 429,390 and 925,756 is: 1,995,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,390 : 925,756 = 925,756 : x
  2. Step 2: Convert to fraction form
    429,390/925,756 = 925,756/x
  3. Step 3: Cross multiply
    429,390x = 925,756 × 925,756
  4. Step 4: Simplify right side
    429,390x = 857,024,171,536
  5. Step 5: Solve for x
    x = 857,024,171,536/429,390
  6. Step 6: Final answer
    x = 1,995,910.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.