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Finding the Third Proportional to 646,067 and 962,798

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Solution

The third proportional to 646,067 and 962,798 is: 1,434,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,067 : 962,798 = 962,798 : x
  2. Step 2: Convert to fraction form
    646,067/962,798 = 962,798/x
  3. Step 3: Cross multiply
    646,067x = 962,798 × 962,798
  4. Step 4: Simplify right side
    646,067x = 926,979,988,804
  5. Step 5: Solve for x
    x = 926,979,988,804/646,067
  6. Step 6: Final answer
    x = 1,434,804.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.