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Finding the Third Proportional to 1,082,508 and 1,649,295

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Solution

The third proportional to 1,082,508 and 1,649,295 is: 2,512,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,508 : 1,649,295 = 1,649,295 : x
  2. Step 2: Convert to fraction form
    1,082,508/1,649,295 = 1,649,295/x
  3. Step 3: Cross multiply
    1,082,508x = 1,649,295 × 1,649,295
  4. Step 4: Simplify right side
    1,082,508x = 2,720,173,997,025
  5. Step 5: Solve for x
    x = 2,720,173,997,025/1,082,508
  6. Step 6: Final answer
    x = 2,512,844.24

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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.