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Finding the Third Proportional to 612,936 and 951,480

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Solution

The third proportional to 612,936 and 951,480 is: 1,477,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,936 : 951,480 = 951,480 : x
  2. Step 2: Convert to fraction form
    612,936/951,480 = 951,480/x
  3. Step 3: Cross multiply
    612,936x = 951,480 × 951,480
  4. Step 4: Simplify right side
    612,936x = 905,314,190,400
  5. Step 5: Solve for x
    x = 905,314,190,400/612,936
  6. Step 6: Final answer
    x = 1,477,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.