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Finding the Third Proportional to 424,932 and 913,017

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Solution

The third proportional to 424,932 and 913,017 is: 1,961,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,932 : 913,017 = 913,017 : x
  2. Step 2: Convert to fraction form
    424,932/913,017 = 913,017/x
  3. Step 3: Cross multiply
    424,932x = 913,017 × 913,017
  4. Step 4: Simplify right side
    424,932x = 833,600,042,289
  5. Step 5: Solve for x
    x = 833,600,042,289/424,932
  6. Step 6: Final answer
    x = 1,961,725.74

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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.