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Finding the Third Proportional to 437,814 and 961,824

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Solution

The third proportional to 437,814 and 961,824 is: 2,113,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,814 : 961,824 = 961,824 : x
  2. Step 2: Convert to fraction form
    437,814/961,824 = 961,824/x
  3. Step 3: Cross multiply
    437,814x = 961,824 × 961,824
  4. Step 4: Simplify right side
    437,814x = 925,105,406,976
  5. Step 5: Solve for x
    x = 925,105,406,976/437,814
  6. Step 6: Final answer
    x = 2,113,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.