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Finding the Third Proportional to 424,086 and 928,380

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Solution

The third proportional to 424,086 and 928,380 is: 2,032,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,086 : 928,380 = 928,380 : x
  2. Step 2: Convert to fraction form
    424,086/928,380 = 928,380/x
  3. Step 3: Cross multiply
    424,086x = 928,380 × 928,380
  4. Step 4: Simplify right side
    424,086x = 861,889,424,400
  5. Step 5: Solve for x
    x = 861,889,424,400/424,086
  6. Step 6: Final answer
    x = 2,032,345.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.