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Finding the Third Proportional to 1,305,909 and 1,996,380

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Solution

The third proportional to 1,305,909 and 1,996,380 is: 3,051,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,909 : 1,996,380 = 1,996,380 : x
  2. Step 2: Convert to fraction form
    1,305,909/1,996,380 = 1,996,380/x
  3. Step 3: Cross multiply
    1,305,909x = 1,996,380 × 1,996,380
  4. Step 4: Simplify right side
    1,305,909x = 3,985,533,104,400
  5. Step 5: Solve for x
    x = 3,985,533,104,400/1,305,909
  6. Step 6: Final answer
    x = 3,051,922.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.