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Finding the Third Proportional to 733,989 and 1,612,320

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Solution

The third proportional to 733,989 and 1,612,320 is: 3,541,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,989 : 1,612,320 = 1,612,320 : x
  2. Step 2: Convert to fraction form
    733,989/1,612,320 = 1,612,320/x
  3. Step 3: Cross multiply
    733,989x = 1,612,320 × 1,612,320
  4. Step 4: Simplify right side
    733,989x = 2,599,575,782,400
  5. Step 5: Solve for x
    x = 2,599,575,782,400/733,989
  6. Step 6: Final answer
    x = 3,541,709.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.