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Finding the Third Proportional to 775,640.81 and 1,646,416.13

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Solution

The third proportional to 775,640.81 and 1,646,416.13 is: 3,494,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,640.81 : 1,646,416.13 = 1,646,416.13 : x
  2. Step 2: Convert to fraction form
    775,640.81/1,646,416.13 = 1,646,416.13/x
  3. Step 3: Cross multiply
    775,640.81x = 1,646,416.13 × 1,646,416.13
  4. Step 4: Simplify right side
    775,640.81x = 2,710,686,056,660.02
  5. Step 5: Solve for x
    x = 2,710,686,056,660.02/775,640.81
  6. Step 6: Final answer
    x = 3,494,769.76

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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.