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Finding the Third Proportional to 447,668 and 961,596

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Solution

The third proportional to 447,668 and 961,596 is: 2,065,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,668 : 961,596 = 961,596 : x
  2. Step 2: Convert to fraction form
    447,668/961,596 = 961,596/x
  3. Step 3: Cross multiply
    447,668x = 961,596 × 961,596
  4. Step 4: Simplify right side
    447,668x = 924,666,867,216
  5. Step 5: Solve for x
    x = 924,666,867,216/447,668
  6. Step 6: Final answer
    x = 2,065,519.24

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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.