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Finding the Third Proportional to 845,416 and 1,993,675

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Solution

The third proportional to 845,416 and 1,993,675 is: 4,701,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,416 : 1,993,675 = 1,993,675 : x
  2. Step 2: Convert to fraction form
    845,416/1,993,675 = 1,993,675/x
  3. Step 3: Cross multiply
    845,416x = 1,993,675 × 1,993,675
  4. Step 4: Simplify right side
    845,416x = 3,974,740,005,625
  5. Step 5: Solve for x
    x = 3,974,740,005,625/845,416
  6. Step 6: Final answer
    x = 4,701,519.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.