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Finding the Third Proportional to 812,356 and 1,782,208

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Solution

The third proportional to 812,356 and 1,782,208 is: 3,909,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,356 : 1,782,208 = 1,782,208 : x
  2. Step 2: Convert to fraction form
    812,356/1,782,208 = 1,782,208/x
  3. Step 3: Cross multiply
    812,356x = 1,782,208 × 1,782,208
  4. Step 4: Simplify right side
    812,356x = 3,176,265,355,264
  5. Step 5: Solve for x
    x = 3,176,265,355,264/812,356
  6. Step 6: Final answer
    x = 3,909,942.63

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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.