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Finding the Third Proportional to 835,938 and 1,328,493

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Solution

The third proportional to 835,938 and 1,328,493 is: 2,111,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,938 : 1,328,493 = 1,328,493 : x
  2. Step 2: Convert to fraction form
    835,938/1,328,493 = 1,328,493/x
  3. Step 3: Cross multiply
    835,938x = 1,328,493 × 1,328,493
  4. Step 4: Simplify right side
    835,938x = 1,764,893,651,049
  5. Step 5: Solve for x
    x = 1,764,893,651,049/835,938
  6. Step 6: Final answer
    x = 2,111,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.