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Finding the Third Proportional to 902,170 and 2,137,273

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Solution

The third proportional to 902,170 and 2,137,273 is: 5,063,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,170 : 2,137,273 = 2,137,273 : x
  2. Step 2: Convert to fraction form
    902,170/2,137,273 = 2,137,273/x
  3. Step 3: Cross multiply
    902,170x = 2,137,273 × 2,137,273
  4. Step 4: Simplify right side
    902,170x = 4,567,935,876,529
  5. Step 5: Solve for x
    x = 4,567,935,876,529/902,170
  6. Step 6: Final answer
    x = 5,063,276.19

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.