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Finding the Third Proportional to 809,212 and 1,773,224

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Solution

The third proportional to 809,212 and 1,773,224 is: 3,885,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,212 : 1,773,224 = 1,773,224 : x
  2. Step 2: Convert to fraction form
    809,212/1,773,224 = 1,773,224/x
  3. Step 3: Cross multiply
    809,212x = 1,773,224 × 1,773,224
  4. Step 4: Simplify right side
    809,212x = 3,144,323,354,176
  5. Step 5: Solve for x
    x = 3,144,323,354,176/809,212
  6. Step 6: Final answer
    x = 3,885,660.81

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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.