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Finding the Third Proportional to 443,617 and 961,969

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Solution

The third proportional to 443,617 and 961,969 is: 2,085,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,617 : 961,969 = 961,969 : x
  2. Step 2: Convert to fraction form
    443,617/961,969 = 961,969/x
  3. Step 3: Cross multiply
    443,617x = 961,969 × 961,969
  4. Step 4: Simplify right side
    443,617x = 925,384,356,961
  5. Step 5: Solve for x
    x = 925,384,356,961/443,617
  6. Step 6: Final answer
    x = 2,085,998.41

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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.