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Finding the Third Proportional to 836,959.50 and 1,823,384.25

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Solution

The third proportional to 836,959.50 and 1,823,384.25 is: 3,972,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,959.50 : 1,823,384.25 = 1,823,384.25 : x
  2. Step 2: Convert to fraction form
    836,959.50/1,823,384.25 = 1,823,384.25/x
  3. Step 3: Cross multiply
    836,959.50x = 1,823,384.25 × 1,823,384.25
  4. Step 4: Simplify right side
    836,959.50x = 3,324,730,123,148.06
  5. Step 5: Solve for x
    x = 3,324,730,123,148.06/836,959.50
  6. Step 6: Final answer
    x = 3,972,390.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.