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Finding the Third Proportional to 448,598 and 959,404

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Solution

The third proportional to 448,598 and 959,404 is: 2,051,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,598 : 959,404 = 959,404 : x
  2. Step 2: Convert to fraction form
    448,598/959,404 = 959,404/x
  3. Step 3: Cross multiply
    448,598x = 959,404 × 959,404
  4. Step 4: Simplify right side
    448,598x = 920,456,035,216
  5. Step 5: Solve for x
    x = 920,456,035,216/448,598
  6. Step 6: Final answer
    x = 2,051,850.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.