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Finding the Third Proportional to 429,085 and 925,614

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Solution

The third proportional to 429,085 and 925,614 is: 1,996,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,085 : 925,614 = 925,614 : x
  2. Step 2: Convert to fraction form
    429,085/925,614 = 925,614/x
  3. Step 3: Cross multiply
    429,085x = 925,614 × 925,614
  4. Step 4: Simplify right side
    429,085x = 856,761,276,996
  5. Step 5: Solve for x
    x = 856,761,276,996/429,085
  6. Step 6: Final answer
    x = 1,996,716.91

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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.