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Finding the Third Proportional to 452,714 and 959,392

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Solution

The third proportional to 452,714 and 959,392 is: 2,033,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,714 : 959,392 = 959,392 : x
  2. Step 2: Convert to fraction form
    452,714/959,392 = 959,392/x
  3. Step 3: Cross multiply
    452,714x = 959,392 × 959,392
  4. Step 4: Simplify right side
    452,714x = 920,433,009,664
  5. Step 5: Solve for x
    x = 920,433,009,664/452,714
  6. Step 6: Final answer
    x = 2,033,144.57

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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.