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Finding the Third Proportional to 794,272 and 1,611,584

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Solution

The third proportional to 794,272 and 1,611,584 is: 3,269,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,272 : 1,611,584 = 1,611,584 : x
  2. Step 2: Convert to fraction form
    794,272/1,611,584 = 1,611,584/x
  3. Step 3: Cross multiply
    794,272x = 1,611,584 × 1,611,584
  4. Step 4: Simplify right side
    794,272x = 2,597,202,989,056
  5. Step 5: Solve for x
    x = 2,597,202,989,056/794,272
  6. Step 6: Final answer
    x = 3,269,916.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.