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Finding the Third Proportional to 843,666 and 1,856,170

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Solution

The third proportional to 843,666 and 1,856,170 is: 4,083,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,666 : 1,856,170 = 1,856,170 : x
  2. Step 2: Convert to fraction form
    843,666/1,856,170 = 1,856,170/x
  3. Step 3: Cross multiply
    843,666x = 1,856,170 × 1,856,170
  4. Step 4: Simplify right side
    843,666x = 3,445,367,068,900
  5. Step 5: Solve for x
    x = 3,445,367,068,900/843,666
  6. Step 6: Final answer
    x = 4,083,804.57

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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.