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Finding the Third Proportional to 452,865 and 959,676

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Solution

The third proportional to 452,865 and 959,676 is: 2,033,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,865 : 959,676 = 959,676 : x
  2. Step 2: Convert to fraction form
    452,865/959,676 = 959,676/x
  3. Step 3: Cross multiply
    452,865x = 959,676 × 959,676
  4. Step 4: Simplify right side
    452,865x = 920,978,024,976
  5. Step 5: Solve for x
    x = 920,978,024,976/452,865
  6. Step 6: Final answer
    x = 2,033,670.13

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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.