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Finding the Third Proportional to 499,407 and 1,100,609

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Solution

The third proportional to 499,407 and 1,100,609 is: 2,425,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,407 : 1,100,609 = 1,100,609 : x
  2. Step 2: Convert to fraction form
    499,407/1,100,609 = 1,100,609/x
  3. Step 3: Cross multiply
    499,407x = 1,100,609 × 1,100,609
  4. Step 4: Simplify right side
    499,407x = 1,211,340,170,881
  5. Step 5: Solve for x
    x = 1,211,340,170,881/499,407
  6. Step 6: Final answer
    x = 2,425,557.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.