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Finding the Third Proportional to 817,865 and 1,241,512

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Solution

The third proportional to 817,865 and 1,241,512 is: 1,884,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,865 : 1,241,512 = 1,241,512 : x
  2. Step 2: Convert to fraction form
    817,865/1,241,512 = 1,241,512/x
  3. Step 3: Cross multiply
    817,865x = 1,241,512 × 1,241,512
  4. Step 4: Simplify right side
    817,865x = 1,541,352,046,144
  5. Step 5: Solve for x
    x = 1,541,352,046,144/817,865
  6. Step 6: Final answer
    x = 1,884,604.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.