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Finding the Third Proportional to 466,539 and 962,523

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Solution

The third proportional to 466,539 and 962,523 is: 1,985,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,539 : 962,523 = 962,523 : x
  2. Step 2: Convert to fraction form
    466,539/962,523 = 962,523/x
  3. Step 3: Cross multiply
    466,539x = 962,523 × 962,523
  4. Step 4: Simplify right side
    466,539x = 926,450,525,529
  5. Step 5: Solve for x
    x = 926,450,525,529/466,539
  6. Step 6: Final answer
    x = 1,985,794.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.