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Finding the Third Proportional to 738,204 and 1,609,816

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Solution

The third proportional to 738,204 and 1,609,816 is: 3,510,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,204 : 1,609,816 = 1,609,816 : x
  2. Step 2: Convert to fraction form
    738,204/1,609,816 = 1,609,816/x
  3. Step 3: Cross multiply
    738,204x = 1,609,816 × 1,609,816
  4. Step 4: Simplify right side
    738,204x = 2,591,507,553,856
  5. Step 5: Solve for x
    x = 2,591,507,553,856/738,204
  6. Step 6: Final answer
    x = 3,510,557.45

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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.