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Finding the Third Proportional to 452,869 and 959,684

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Solution

The third proportional to 452,869 and 959,684 is: 2,033,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,869 : 959,684 = 959,684 : x
  2. Step 2: Convert to fraction form
    452,869/959,684 = 959,684/x
  3. Step 3: Cross multiply
    452,869x = 959,684 × 959,684
  4. Step 4: Simplify right side
    452,869x = 920,993,379,856
  5. Step 5: Solve for x
    x = 920,993,379,856/452,869
  6. Step 6: Final answer
    x = 2,033,686.08

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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.