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Finding the Third Proportional to 424,956 and 928,320

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Solution

The third proportional to 424,956 and 928,320 is: 2,027,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,956 : 928,320 = 928,320 : x
  2. Step 2: Convert to fraction form
    424,956/928,320 = 928,320/x
  3. Step 3: Cross multiply
    424,956x = 928,320 × 928,320
  4. Step 4: Simplify right side
    424,956x = 861,778,022,400
  5. Step 5: Solve for x
    x = 861,778,022,400/424,956
  6. Step 6: Final answer
    x = 2,027,922.94

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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.