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Finding the Third Proportional to 436,874 and 952,802

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Solution

The third proportional to 436,874 and 952,802 is: 2,078,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,874 : 952,802 = 952,802 : x
  2. Step 2: Convert to fraction form
    436,874/952,802 = 952,802/x
  3. Step 3: Cross multiply
    436,874x = 952,802 × 952,802
  4. Step 4: Simplify right side
    436,874x = 907,831,651,204
  5. Step 5: Solve for x
    x = 907,831,651,204/436,874
  6. Step 6: Final answer
    x = 2,078,017.12

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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.