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Finding the Third Proportional to 823,997.81 and 1,805,095.13

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Solution

The third proportional to 823,997.81 and 1,805,095.13 is: 3,954,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,997.81 : 1,805,095.13 = 1,805,095.13 : x
  2. Step 2: Convert to fraction form
    823,997.81/1,805,095.13 = 1,805,095.13/x
  3. Step 3: Cross multiply
    823,997.81x = 1,805,095.13 × 1,805,095.13
  4. Step 4: Simplify right side
    823,997.81x = 3,258,368,410,298.77
  5. Step 5: Solve for x
    x = 3,258,368,410,298.77/823,997.81
  6. Step 6: Final answer
    x = 3,954,341.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.