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Finding the Third Proportional to 836,138.25 and 1,832,018.50

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Solution

The third proportional to 836,138.25 and 1,832,018.50 is: 4,014,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,138.25 : 1,832,018.50 = 1,832,018.50 : x
  2. Step 2: Convert to fraction form
    836,138.25/1,832,018.50 = 1,832,018.50/x
  3. Step 3: Cross multiply
    836,138.25x = 1,832,018.50 × 1,832,018.50
  4. Step 4: Simplify right side
    836,138.25x = 3,356,291,784,342.25
  5. Step 5: Solve for x
    x = 3,356,291,784,342.25/836,138.25
  6. Step 6: Final answer
    x = 4,014,039.29

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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.