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Finding the Third Proportional to 802,422 and 1,731,234

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Solution

The third proportional to 802,422 and 1,731,234 is: 3,735,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,422 : 1,731,234 = 1,731,234 : x
  2. Step 2: Convert to fraction form
    802,422/1,731,234 = 1,731,234/x
  3. Step 3: Cross multiply
    802,422x = 1,731,234 × 1,731,234
  4. Step 4: Simplify right side
    802,422x = 2,997,171,162,756
  5. Step 5: Solve for x
    x = 2,997,171,162,756/802,422
  6. Step 6: Final answer
    x = 3,735,155.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.