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Finding the Third Proportional to 496,639.13 and 1,071,964.13

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Solution

The third proportional to 496,639.13 and 1,071,964.13 is: 2,313,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,639.13 : 1,071,964.13 = 1,071,964.13 : x
  2. Step 2: Convert to fraction form
    496,639.13/1,071,964.13 = 1,071,964.13/x
  3. Step 3: Cross multiply
    496,639.13x = 1,071,964.13 × 1,071,964.13
  4. Step 4: Simplify right side
    496,639.13x = 1,149,107,085,287.02
  5. Step 5: Solve for x
    x = 1,149,107,085,287.02/496,639.13
  6. Step 6: Final answer
    x = 2,313,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.