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Finding the Third Proportional to 809,844 and 1,257,210

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Solution

The third proportional to 809,844 and 1,257,210 is: 1,951,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,844 : 1,257,210 = 1,257,210 : x
  2. Step 2: Convert to fraction form
    809,844/1,257,210 = 1,257,210/x
  3. Step 3: Cross multiply
    809,844x = 1,257,210 × 1,257,210
  4. Step 4: Simplify right side
    809,844x = 1,580,576,984,100
  5. Step 5: Solve for x
    x = 1,580,576,984,100/809,844
  6. Step 6: Final answer
    x = 1,951,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.