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Finding the Third Proportional to 447,636 and 961,530

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Solution

The third proportional to 447,636 and 961,530 is: 2,065,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,636 : 961,530 = 961,530 : x
  2. Step 2: Convert to fraction form
    447,636/961,530 = 961,530/x
  3. Step 3: Cross multiply
    447,636x = 961,530 × 961,530
  4. Step 4: Simplify right side
    447,636x = 924,539,940,900
  5. Step 5: Solve for x
    x = 924,539,940,900/447,636
  6. Step 6: Final answer
    x = 2,065,383.35

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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.