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Finding the Third Proportional to 1,763,404.88 and 2,638,272.38

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Solution

The third proportional to 1,763,404.88 and 2,638,272.38 is: 3,947,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,404.88 : 2,638,272.38 = 2,638,272.38 : x
  2. Step 2: Convert to fraction form
    1,763,404.88/2,638,272.38 = 2,638,272.38/x
  3. Step 3: Cross multiply
    1,763,404.88x = 2,638,272.38 × 2,638,272.38
  4. Step 4: Simplify right side
    1,763,404.88x = 6,960,481,124,688.14
  5. Step 5: Solve for x
    x = 6,960,481,124,688.14/1,763,404.88
  6. Step 6: Final answer
    x = 3,947,182.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.