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Finding the Third Proportional to 621,738 and 962,946

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Solution

The third proportional to 621,738 and 962,946 is: 1,491,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 962,946 = 962,946 : x
  2. Step 2: Convert to fraction form
    621,738/962,946 = 962,946/x
  3. Step 3: Cross multiply
    621,738x = 962,946 × 962,946
  4. Step 4: Simplify right side
    621,738x = 927,264,998,916
  5. Step 5: Solve for x
    x = 927,264,998,916/621,738
  6. Step 6: Final answer
    x = 1,491,407.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.