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Finding the Third Proportional to 902,025 and 1,961,433

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Solution

The third proportional to 902,025 and 1,961,433 is: 4,265,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,025 : 1,961,433 = 1,961,433 : x
  2. Step 2: Convert to fraction form
    902,025/1,961,433 = 1,961,433/x
  3. Step 3: Cross multiply
    902,025x = 1,961,433 × 1,961,433
  4. Step 4: Simplify right side
    902,025x = 3,847,219,413,489
  5. Step 5: Solve for x
    x = 3,847,219,413,489/902,025
  6. Step 6: Final answer
    x = 4,265,091.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.