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Finding the Third Proportional to 675,056 and 949,422

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Solution

The third proportional to 675,056 and 949,422 is: 1,335,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,056 : 949,422 = 949,422 : x
  2. Step 2: Convert to fraction form
    675,056/949,422 = 949,422/x
  3. Step 3: Cross multiply
    675,056x = 949,422 × 949,422
  4. Step 4: Simplify right side
    675,056x = 901,402,134,084
  5. Step 5: Solve for x
    x = 901,402,134,084/675,056
  6. Step 6: Final answer
    x = 1,335,299.79

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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.