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Finding the Third Proportional to 800,320 and 1,220,806

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Solution

The third proportional to 800,320 and 1,220,806 is: 1,862,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,320 : 1,220,806 = 1,220,806 : x
  2. Step 2: Convert to fraction form
    800,320/1,220,806 = 1,220,806/x
  3. Step 3: Cross multiply
    800,320x = 1,220,806 × 1,220,806
  4. Step 4: Simplify right side
    800,320x = 1,490,367,289,636
  5. Step 5: Solve for x
    x = 1,490,367,289,636/800,320
  6. Step 6: Final answer
    x = 1,862,214.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.