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Finding the Third Proportional to 436,814 and 950,546

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Solution

The third proportional to 436,814 and 950,546 is: 2,068,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,814 : 950,546 = 950,546 : x
  2. Step 2: Convert to fraction form
    436,814/950,546 = 950,546/x
  3. Step 3: Cross multiply
    436,814x = 950,546 × 950,546
  4. Step 4: Simplify right side
    436,814x = 903,537,698,116
  5. Step 5: Solve for x
    x = 903,537,698,116/436,814
  6. Step 6: Final answer
    x = 2,068,472.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.