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Finding the Third Proportional to 443,619 and 961,973

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Solution

The third proportional to 443,619 and 961,973 is: 2,086,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,619 : 961,973 = 961,973 : x
  2. Step 2: Convert to fraction form
    443,619/961,973 = 961,973/x
  3. Step 3: Cross multiply
    443,619x = 961,973 × 961,973
  4. Step 4: Simplify right side
    443,619x = 925,392,052,729
  5. Step 5: Solve for x
    x = 925,392,052,729/443,619
  6. Step 6: Final answer
    x = 2,086,006.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.