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Finding the Third Proportional to 902,052 and 1,961,487

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Solution

The third proportional to 902,052 and 1,961,487 is: 4,265,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,052 : 1,961,487 = 1,961,487 : x
  2. Step 2: Convert to fraction form
    902,052/1,961,487 = 1,961,487/x
  3. Step 3: Cross multiply
    902,052x = 1,961,487 × 1,961,487
  4. Step 4: Simplify right side
    902,052x = 3,847,431,251,169
  5. Step 5: Solve for x
    x = 3,847,431,251,169/902,052
  6. Step 6: Final answer
    x = 4,265,198.96

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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.