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Finding the Third Proportional to 819,594 and 1,679,652

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Solution

The third proportional to 819,594 and 1,679,652 is: 3,442,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,594 : 1,679,652 = 1,679,652 : x
  2. Step 2: Convert to fraction form
    819,594/1,679,652 = 1,679,652/x
  3. Step 3: Cross multiply
    819,594x = 1,679,652 × 1,679,652
  4. Step 4: Simplify right side
    819,594x = 2,821,230,841,104
  5. Step 5: Solve for x
    x = 2,821,230,841,104/819,594
  6. Step 6: Final answer
    x = 3,442,229.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.