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Finding the Third Proportional to 1,764,828 and 2,485,242

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Solution

The third proportional to 1,764,828 and 2,485,242 is: 3,499,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,828 : 2,485,242 = 2,485,242 : x
  2. Step 2: Convert to fraction form
    1,764,828/2,485,242 = 2,485,242/x
  3. Step 3: Cross multiply
    1,764,828x = 2,485,242 × 2,485,242
  4. Step 4: Simplify right side
    1,764,828x = 6,176,427,798,564
  5. Step 5: Solve for x
    x = 6,176,427,798,564/1,764,828
  6. Step 6: Final answer
    x = 3,499,733.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.