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Finding the Third Proportional to 424,179 and 913,374

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Solution

The third proportional to 424,179 and 913,374 is: 1,966,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,179 : 913,374 = 913,374 : x
  2. Step 2: Convert to fraction form
    424,179/913,374 = 913,374/x
  3. Step 3: Cross multiply
    424,179x = 913,374 × 913,374
  4. Step 4: Simplify right side
    424,179x = 834,252,063,876
  5. Step 5: Solve for x
    x = 834,252,063,876/424,179
  6. Step 6: Final answer
    x = 1,966,745.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.