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Finding the Third Proportional to 463,562 and 962,651

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Solution

The third proportional to 463,562 and 962,651 is: 1,999,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,562 : 962,651 = 962,651 : x
  2. Step 2: Convert to fraction form
    463,562/962,651 = 962,651/x
  3. Step 3: Cross multiply
    463,562x = 962,651 × 962,651
  4. Step 4: Simplify right side
    463,562x = 926,696,947,801
  5. Step 5: Solve for x
    x = 926,696,947,801/463,562
  6. Step 6: Final answer
    x = 1,999,078.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.