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Finding the Third Proportional to 675,785 and 944,787

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Solution

The third proportional to 675,785 and 944,787 is: 1,320,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,785 : 944,787 = 944,787 : x
  2. Step 2: Convert to fraction form
    675,785/944,787 = 944,787/x
  3. Step 3: Cross multiply
    675,785x = 944,787 × 944,787
  4. Step 4: Simplify right side
    675,785x = 892,622,475,369
  5. Step 5: Solve for x
    x = 892,622,475,369/675,785
  6. Step 6: Final answer
    x = 1,320,867.55

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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.