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Finding the Third Proportional to 809,842 and 1,772,212

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Solution

The third proportional to 809,842 and 1,772,212 is: 3,878,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,842 : 1,772,212 = 1,772,212 : x
  2. Step 2: Convert to fraction form
    809,842/1,772,212 = 1,772,212/x
  3. Step 3: Cross multiply
    809,842x = 1,772,212 × 1,772,212
  4. Step 4: Simplify right side
    809,842x = 3,140,735,372,944
  5. Step 5: Solve for x
    x = 3,140,735,372,944/809,842
  6. Step 6: Final answer
    x = 3,878,207.57

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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.