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Finding the Third Proportional to 439,620 and 941,432

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Solution

The third proportional to 439,620 and 941,432 is: 2,016,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,620 : 941,432 = 941,432 : x
  2. Step 2: Convert to fraction form
    439,620/941,432 = 941,432/x
  3. Step 3: Cross multiply
    439,620x = 941,432 × 941,432
  4. Step 4: Simplify right side
    439,620x = 886,294,210,624
  5. Step 5: Solve for x
    x = 886,294,210,624/439,620
  6. Step 6: Final answer
    x = 2,016,046.15

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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.