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Finding the Third Proportional to 439,533 and 902,367

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Solution

The third proportional to 439,533 and 902,367 is: 1,852,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,533 : 902,367 = 902,367 : x
  2. Step 2: Convert to fraction form
    439,533/902,367 = 902,367/x
  3. Step 3: Cross multiply
    439,533x = 902,367 × 902,367
  4. Step 4: Simplify right side
    439,533x = 814,266,202,689
  5. Step 5: Solve for x
    x = 814,266,202,689/439,533
  6. Step 6: Final answer
    x = 1,852,571.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.