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Finding the Third Proportional to 675,054 and 949,419

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Solution

The third proportional to 675,054 and 949,419 is: 1,335,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,054 : 949,419 = 949,419 : x
  2. Step 2: Convert to fraction form
    675,054/949,419 = 949,419/x
  3. Step 3: Cross multiply
    675,054x = 949,419 × 949,419
  4. Step 4: Simplify right side
    675,054x = 901,396,437,561
  5. Step 5: Solve for x
    x = 901,396,437,561/675,054
  6. Step 6: Final answer
    x = 1,335,295.31

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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.