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Finding the Third Proportional to 738,180 and 1,609,767

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Solution

The third proportional to 738,180 and 1,609,767 is: 3,510,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,180 : 1,609,767 = 1,609,767 : x
  2. Step 2: Convert to fraction form
    738,180/1,609,767 = 1,609,767/x
  3. Step 3: Cross multiply
    738,180x = 1,609,767 × 1,609,767
  4. Step 4: Simplify right side
    738,180x = 2,591,349,794,289
  5. Step 5: Solve for x
    x = 2,591,349,794,289/738,180
  6. Step 6: Final answer
    x = 3,510,457.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.