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Finding the Third Proportional to 591,682 and 961,288

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Solution

The third proportional to 591,682 and 961,288 is: 1,561,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,682 : 961,288 = 961,288 : x
  2. Step 2: Convert to fraction form
    591,682/961,288 = 961,288/x
  3. Step 3: Cross multiply
    591,682x = 961,288 × 961,288
  4. Step 4: Simplify right side
    591,682x = 924,074,618,944
  5. Step 5: Solve for x
    x = 924,074,618,944/591,682
  6. Step 6: Final answer
    x = 1,561,775.78

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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.