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Finding the Third Proportional to 467,035 and 989,601

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Solution

The third proportional to 467,035 and 989,601 is: 2,096,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,035 : 989,601 = 989,601 : x
  2. Step 2: Convert to fraction form
    467,035/989,601 = 989,601/x
  3. Step 3: Cross multiply
    467,035x = 989,601 × 989,601
  4. Step 4: Simplify right side
    467,035x = 979,310,139,201
  5. Step 5: Solve for x
    x = 979,310,139,201/467,035
  6. Step 6: Final answer
    x = 2,096,866.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.