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Finding the Third Proportional to 809,838 and 1,257,201

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Solution

The third proportional to 809,838 and 1,257,201 is: 1,951,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,838 : 1,257,201 = 1,257,201 : x
  2. Step 2: Convert to fraction form
    809,838/1,257,201 = 1,257,201/x
  3. Step 3: Cross multiply
    809,838x = 1,257,201 × 1,257,201
  4. Step 4: Simplify right side
    809,838x = 1,580,554,354,401
  5. Step 5: Solve for x
    x = 1,580,554,354,401/809,838
  6. Step 6: Final answer
    x = 1,951,692.01

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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.