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Finding the Third Proportional to 436,320 and 951,480

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Solution

The third proportional to 436,320 and 951,480 is: 2,074,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,320 : 951,480 = 951,480 : x
  2. Step 2: Convert to fraction form
    436,320/951,480 = 951,480/x
  3. Step 3: Cross multiply
    436,320x = 951,480 × 951,480
  4. Step 4: Simplify right side
    436,320x = 905,314,190,400
  5. Step 5: Solve for x
    x = 905,314,190,400/436,320
  6. Step 6: Final answer
    x = 2,074,885.84

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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.