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Finding the Third Proportional to 845,685.56 and 1,774,408.78

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Solution

The third proportional to 845,685.56 and 1,774,408.78 is: 3,723,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,685.56 : 1,774,408.78 = 1,774,408.78 : x
  2. Step 2: Convert to fraction form
    845,685.56/1,774,408.78 = 1,774,408.78/x
  3. Step 3: Cross multiply
    845,685.56x = 1,774,408.78 × 1,774,408.78
  4. Step 4: Simplify right side
    845,685.56x = 3,148,526,522,977.11
  5. Step 5: Solve for x
    x = 3,148,526,522,977.11/845,685.56
  6. Step 6: Final answer
    x = 3,723,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.