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Finding the Third Proportional to 1,241,821 and 1,821,834

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Solution

The third proportional to 1,241,821 and 1,821,834 is: 2,672,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,821 : 1,821,834 = 1,821,834 : x
  2. Step 2: Convert to fraction form
    1,241,821/1,821,834 = 1,821,834/x
  3. Step 3: Cross multiply
    1,241,821x = 1,821,834 × 1,821,834
  4. Step 4: Simplify right side
    1,241,821x = 3,319,079,123,556
  5. Step 5: Solve for x
    x = 3,319,079,123,556/1,241,821
  6. Step 6: Final answer
    x = 2,672,751.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.