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Finding the Third Proportional to 591,738 and 961,380

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Solution

The third proportional to 591,738 and 961,380 is: 1,561,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,738 : 961,380 = 961,380 : x
  2. Step 2: Convert to fraction form
    591,738/961,380 = 961,380/x
  3. Step 3: Cross multiply
    591,738x = 961,380 × 961,380
  4. Step 4: Simplify right side
    591,738x = 924,251,504,400
  5. Step 5: Solve for x
    x = 924,251,504,400/591,738
  6. Step 6: Final answer
    x = 1,561,926.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.