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Finding the Third Proportional to 452,848 and 959,596

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Solution

The third proportional to 452,848 and 959,596 is: 2,033,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,848 : 959,596 = 959,596 : x
  2. Step 2: Convert to fraction form
    452,848/959,596 = 959,596/x
  3. Step 3: Cross multiply
    452,848x = 959,596 × 959,596
  4. Step 4: Simplify right side
    452,848x = 920,824,483,216
  5. Step 5: Solve for x
    x = 920,824,483,216/452,848
  6. Step 6: Final answer
    x = 2,033,407.42

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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.