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Finding the Third Proportional to 439,616 and 941,424

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Solution

The third proportional to 439,616 and 941,424 is: 2,016,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,616 : 941,424 = 941,424 : x
  2. Step 2: Convert to fraction form
    439,616/941,424 = 941,424/x
  3. Step 3: Cross multiply
    439,616x = 941,424 × 941,424
  4. Step 4: Simplify right side
    439,616x = 886,279,147,776
  5. Step 5: Solve for x
    x = 886,279,147,776/439,616
  6. Step 6: Final answer
    x = 2,016,030.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.