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Finding the Third Proportional to 490,108.41 and 1,061,639.81

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Solution

The third proportional to 490,108.41 and 1,061,639.81 is: 2,299,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,108.41 : 1,061,639.81 = 1,061,639.81 : x
  2. Step 2: Convert to fraction form
    490,108.41/1,061,639.81 = 1,061,639.81/x
  3. Step 3: Cross multiply
    490,108.41x = 1,061,639.81 × 1,061,639.81
  4. Step 4: Simplify right side
    490,108.41x = 1,127,079,091,485.04
  5. Step 5: Solve for x
    x = 1,127,079,091,485.04/490,108.41
  6. Step 6: Final answer
    x = 2,299,652.64

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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.