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Finding the Third Proportional to 836,223.75 and 1,790,505

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Solution

The third proportional to 836,223.75 and 1,790,505 is: 3,833,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,223.75 : 1,790,505 = 1,790,505 : x
  2. Step 2: Convert to fraction form
    836,223.75/1,790,505 = 1,790,505/x
  3. Step 3: Cross multiply
    836,223.75x = 1,790,505 × 1,790,505
  4. Step 4: Simplify right side
    836,223.75x = 3,205,908,155,025
  5. Step 5: Solve for x
    x = 3,205,908,155,025/836,223.75
  6. Step 6: Final answer
    x = 3,833,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.