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Finding the Third Proportional to 481,934 and 1,046,949.13

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Solution

The third proportional to 481,934 and 1,046,949.13 is: 2,274,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,934 : 1,046,949.13 = 1,046,949.13 : x
  2. Step 2: Convert to fraction form
    481,934/1,046,949.13 = 1,046,949.13/x
  3. Step 3: Cross multiply
    481,934x = 1,046,949.13 × 1,046,949.13
  4. Step 4: Simplify right side
    481,934x = 1,096,102,470,338.27
  5. Step 5: Solve for x
    x = 1,096,102,470,338.27/481,934
  6. Step 6: Final answer
    x = 2,274,382.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.