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Finding the Third Proportional to 845,019 and 1,878,941

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Solution

The third proportional to 845,019 and 1,878,941 is: 4,177,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,019 : 1,878,941 = 1,878,941 : x
  2. Step 2: Convert to fraction form
    845,019/1,878,941 = 1,878,941/x
  3. Step 3: Cross multiply
    845,019x = 1,878,941 × 1,878,941
  4. Step 4: Simplify right side
    845,019x = 3,530,419,281,481
  5. Step 5: Solve for x
    x = 3,530,419,281,481/845,019
  6. Step 6: Final answer
    x = 4,177,917.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.