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Finding the Third Proportional to 441,302 and 952,570

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Solution

The third proportional to 441,302 and 952,570 is: 2,056,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,302 : 952,570 = 952,570 : x
  2. Step 2: Convert to fraction form
    441,302/952,570 = 952,570/x
  3. Step 3: Cross multiply
    441,302x = 952,570 × 952,570
  4. Step 4: Simplify right side
    441,302x = 907,389,604,900
  5. Step 5: Solve for x
    x = 907,389,604,900/441,302
  6. Step 6: Final answer
    x = 2,056,164.72

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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.