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Finding the Third Proportional to 812,478 and 1,782,492

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Solution

The third proportional to 812,478 and 1,782,492 is: 3,910,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,478 : 1,782,492 = 1,782,492 : x
  2. Step 2: Convert to fraction form
    812,478/1,782,492 = 1,782,492/x
  3. Step 3: Cross multiply
    812,478x = 1,782,492 × 1,782,492
  4. Step 4: Simplify right side
    812,478x = 3,177,277,730,064
  5. Step 5: Solve for x
    x = 3,177,277,730,064/812,478
  6. Step 6: Final answer
    x = 3,910,601.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.