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Finding the Third Proportional to 720,180 and 1,552,005

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Solution

The third proportional to 720,180 and 1,552,005 is: 3,344,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,180 : 1,552,005 = 1,552,005 : x
  2. Step 2: Convert to fraction form
    720,180/1,552,005 = 1,552,005/x
  3. Step 3: Cross multiply
    720,180x = 1,552,005 × 1,552,005
  4. Step 4: Simplify right side
    720,180x = 2,408,719,520,025
  5. Step 5: Solve for x
    x = 2,408,719,520,025/720,180
  6. Step 6: Final answer
    x = 3,344,607.63

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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.