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Finding the Third Proportional to 424,930 and 913,013

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Solution

The third proportional to 424,930 and 913,013 is: 1,961,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,930 : 913,013 = 913,013 : x
  2. Step 2: Convert to fraction form
    424,930/913,013 = 913,013/x
  3. Step 3: Cross multiply
    424,930x = 913,013 × 913,013
  4. Step 4: Simplify right side
    424,930x = 833,592,738,169
  5. Step 5: Solve for x
    x = 833,592,738,169/424,930
  6. Step 6: Final answer
    x = 1,961,717.78

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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.