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Finding the Third Proportional to 621,960 and 952,596

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Solution

The third proportional to 621,960 and 952,596 is: 1,458,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,960 : 952,596 = 952,596 : x
  2. Step 2: Convert to fraction form
    621,960/952,596 = 952,596/x
  3. Step 3: Cross multiply
    621,960x = 952,596 × 952,596
  4. Step 4: Simplify right side
    621,960x = 907,439,139,216
  5. Step 5: Solve for x
    x = 907,439,139,216/621,960
  6. Step 6: Final answer
    x = 1,458,999.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.