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Finding the Third Proportional to 843,744 and 1,306,806

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Solution

The third proportional to 843,744 and 1,306,806 is: 2,024,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,744 : 1,306,806 = 1,306,806 : x
  2. Step 2: Convert to fraction form
    843,744/1,306,806 = 1,306,806/x
  3. Step 3: Cross multiply
    843,744x = 1,306,806 × 1,306,806
  4. Step 4: Simplify right side
    843,744x = 1,707,741,921,636
  5. Step 5: Solve for x
    x = 1,707,741,921,636/843,744
  6. Step 6: Final answer
    x = 2,024,004.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.