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Finding the Third Proportional to 617,830 and 1,443,425

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Solution

The third proportional to 617,830 and 1,443,425 is: 3,372,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,830 : 1,443,425 = 1,443,425 : x
  2. Step 2: Convert to fraction form
    617,830/1,443,425 = 1,443,425/x
  3. Step 3: Cross multiply
    617,830x = 1,443,425 × 1,443,425
  4. Step 4: Simplify right side
    617,830x = 2,083,475,730,625
  5. Step 5: Solve for x
    x = 2,083,475,730,625/617,830
  6. Step 6: Final answer
    x = 3,372,247.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.