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Finding the Third Proportional to 851,072 and 1,836,637

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Solution

The third proportional to 851,072 and 1,836,637 is: 3,963,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,072 : 1,836,637 = 1,836,637 : x
  2. Step 2: Convert to fraction form
    851,072/1,836,637 = 1,836,637/x
  3. Step 3: Cross multiply
    851,072x = 1,836,637 × 1,836,637
  4. Step 4: Simplify right side
    851,072x = 3,373,235,469,769
  5. Step 5: Solve for x
    x = 3,373,235,469,769/851,072
  6. Step 6: Final answer
    x = 3,963,513.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.