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Finding the Third Proportional to 1,785,015 and 3,924,324

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Solution

The third proportional to 1,785,015 and 3,924,324 is: 8,627,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,015 : 3,924,324 = 3,924,324 : x
  2. Step 2: Convert to fraction form
    1,785,015/3,924,324 = 3,924,324/x
  3. Step 3: Cross multiply
    1,785,015x = 3,924,324 × 3,924,324
  4. Step 4: Simplify right side
    1,785,015x = 15,400,318,856,976
  5. Step 5: Solve for x
    x = 15,400,318,856,976/1,785,015
  6. Step 6: Final answer
    x = 8,627,557.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.