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Finding the Third Proportional to 1,650,338 and 2,524,543

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Solution

The third proportional to 1,650,338 and 2,524,543 is: 3,861,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,338 : 2,524,543 = 2,524,543 : x
  2. Step 2: Convert to fraction form
    1,650,338/2,524,543 = 2,524,543/x
  3. Step 3: Cross multiply
    1,650,338x = 2,524,543 × 2,524,543
  4. Step 4: Simplify right side
    1,650,338x = 6,373,317,358,849
  5. Step 5: Solve for x
    x = 6,373,317,358,849/1,650,338
  6. Step 6: Final answer
    x = 3,861,825.49

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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.