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Finding the Third Proportional to 622,868 and 962,326

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Solution

The third proportional to 622,868 and 962,326 is: 1,486,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,868 : 962,326 = 962,326 : x
  2. Step 2: Convert to fraction form
    622,868/962,326 = 962,326/x
  3. Step 3: Cross multiply
    622,868x = 962,326 × 962,326
  4. Step 4: Simplify right side
    622,868x = 926,071,330,276
  5. Step 5: Solve for x
    x = 926,071,330,276/622,868
  6. Step 6: Final answer
    x = 1,486,785.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.