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Finding the Third Proportional to 436,763 and 926,005

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Solution

The third proportional to 436,763 and 926,005 is: 1,963,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,763 : 926,005 = 926,005 : x
  2. Step 2: Convert to fraction form
    436,763/926,005 = 926,005/x
  3. Step 3: Cross multiply
    436,763x = 926,005 × 926,005
  4. Step 4: Simplify right side
    436,763x = 857,485,260,025
  5. Step 5: Solve for x
    x = 857,485,260,025/436,763
  6. Step 6: Final answer
    x = 1,963,273.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.