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Finding the Third Proportional to 730,149 and 1,597,941

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Solution

The third proportional to 730,149 and 1,597,941 is: 3,497,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,149 : 1,597,941 = 1,597,941 : x
  2. Step 2: Convert to fraction form
    730,149/1,597,941 = 1,597,941/x
  3. Step 3: Cross multiply
    730,149x = 1,597,941 × 1,597,941
  4. Step 4: Simplify right side
    730,149x = 2,553,415,439,481
  5. Step 5: Solve for x
    x = 2,553,415,439,481/730,149
  6. Step 6: Final answer
    x = 3,497,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.