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Finding the Third Proportional to 812,358 and 1,782,212

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Solution

The third proportional to 812,358 and 1,782,212 is: 3,909,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,358 : 1,782,212 = 1,782,212 : x
  2. Step 2: Convert to fraction form
    812,358/1,782,212 = 1,782,212/x
  3. Step 3: Cross multiply
    812,358x = 1,782,212 × 1,782,212
  4. Step 4: Simplify right side
    812,358x = 3,176,279,612,944
  5. Step 5: Solve for x
    x = 3,176,279,612,944/812,358
  6. Step 6: Final answer
    x = 3,909,950.55

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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.