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Finding the Third Proportional to 836,139.50 and 1,832,021

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Solution

The third proportional to 836,139.50 and 1,832,021 is: 4,014,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,139.50 : 1,832,021 = 1,832,021 : x
  2. Step 2: Convert to fraction form
    836,139.50/1,832,021 = 1,832,021/x
  3. Step 3: Cross multiply
    836,139.50x = 1,832,021 × 1,832,021
  4. Step 4: Simplify right side
    836,139.50x = 3,356,300,944,441
  5. Step 5: Solve for x
    x = 3,356,300,944,441/836,139.50
  6. Step 6: Final answer
    x = 4,014,044.24

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