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Finding the Third Proportional to 441,314 and 952,596

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Solution

The third proportional to 441,314 and 952,596 is: 2,056,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,314 : 952,596 = 952,596 : x
  2. Step 2: Convert to fraction form
    441,314/952,596 = 952,596/x
  3. Step 3: Cross multiply
    441,314x = 952,596 × 952,596
  4. Step 4: Simplify right side
    441,314x = 907,439,139,216
  5. Step 5: Solve for x
    x = 907,439,139,216/441,314
  6. Step 6: Final answer
    x = 2,056,221.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.