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Finding the Third Proportional to 461,373 and 991,722

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Solution

The third proportional to 461,373 and 991,722 is: 2,131,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,373 : 991,722 = 991,722 : x
  2. Step 2: Convert to fraction form
    461,373/991,722 = 991,722/x
  3. Step 3: Cross multiply
    461,373x = 991,722 × 991,722
  4. Step 4: Simplify right side
    461,373x = 983,512,525,284
  5. Step 5: Solve for x
    x = 983,512,525,284/461,373
  6. Step 6: Final answer
    x = 2,131,708.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.