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Finding the Third Proportional to 1,823,428.50 and 3,967,941

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Solution

The third proportional to 1,823,428.50 and 3,967,941 is: 8,634,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,428.50 : 3,967,941 = 3,967,941 : x
  2. Step 2: Convert to fraction form
    1,823,428.50/3,967,941 = 3,967,941/x
  3. Step 3: Cross multiply
    1,823,428.50x = 3,967,941 × 3,967,941
  4. Step 4: Simplify right side
    1,823,428.50x = 15,744,555,779,481
  5. Step 5: Solve for x
    x = 15,744,555,779,481/1,823,428.50
  6. Step 6: Final answer
    x = 8,634,589.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.