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Finding the Third Proportional to 744,723 and 1,607,517

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Solution

The third proportional to 744,723 and 1,607,517 is: 3,469,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,723 : 1,607,517 = 1,607,517 : x
  2. Step 2: Convert to fraction form
    744,723/1,607,517 = 1,607,517/x
  3. Step 3: Cross multiply
    744,723x = 1,607,517 × 1,607,517
  4. Step 4: Simplify right side
    744,723x = 2,584,110,905,289
  5. Step 5: Solve for x
    x = 2,584,110,905,289/744,723
  6. Step 6: Final answer
    x = 3,469,895.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.