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Finding the Third Proportional to 452,648 and 942,475

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Solution

The third proportional to 452,648 and 942,475 is: 1,962,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,648 : 942,475 = 942,475 : x
  2. Step 2: Convert to fraction form
    452,648/942,475 = 942,475/x
  3. Step 3: Cross multiply
    452,648x = 942,475 × 942,475
  4. Step 4: Simplify right side
    452,648x = 888,259,125,625
  5. Step 5: Solve for x
    x = 888,259,125,625/452,648
  6. Step 6: Final answer
    x = 1,962,361.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.