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Finding the Third Proportional to 675,914 and 944,979

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Solution

The third proportional to 675,914 and 944,979 is: 1,321,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,914 : 944,979 = 944,979 : x
  2. Step 2: Convert to fraction form
    675,914/944,979 = 944,979/x
  3. Step 3: Cross multiply
    675,914x = 944,979 × 944,979
  4. Step 4: Simplify right side
    675,914x = 892,985,310,441
  5. Step 5: Solve for x
    x = 892,985,310,441/675,914
  6. Step 6: Final answer
    x = 1,321,152.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.