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Finding the Third Proportional to 845,847 and 1,311,720

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Solution

The third proportional to 845,847 and 1,311,720 is: 2,034,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,847 : 1,311,720 = 1,311,720 : x
  2. Step 2: Convert to fraction form
    845,847/1,311,720 = 1,311,720/x
  3. Step 3: Cross multiply
    845,847x = 1,311,720 × 1,311,720
  4. Step 4: Simplify right side
    845,847x = 1,720,609,358,400
  5. Step 5: Solve for x
    x = 1,720,609,358,400/845,847
  6. Step 6: Final answer
    x = 2,034,185.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.