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Finding the Third Proportional to 441,759 and 961,731

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Solution

The third proportional to 441,759 and 961,731 is: 2,093,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,759 : 961,731 = 961,731 : x
  2. Step 2: Convert to fraction form
    441,759/961,731 = 961,731/x
  3. Step 3: Cross multiply
    441,759x = 961,731 × 961,731
  4. Step 4: Simplify right side
    441,759x = 924,926,516,361
  5. Step 5: Solve for x
    x = 924,926,516,361/441,759
  6. Step 6: Final answer
    x = 2,093,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.