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Finding the Third Proportional to 439,584 and 941,376

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Solution

The third proportional to 439,584 and 941,376 is: 2,015,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,584 : 941,376 = 941,376 : x
  2. Step 2: Convert to fraction form
    439,584/941,376 = 941,376/x
  3. Step 3: Cross multiply
    439,584x = 941,376 × 941,376
  4. Step 4: Simplify right side
    439,584x = 886,188,773,376
  5. Step 5: Solve for x
    x = 886,188,773,376/439,584
  6. Step 6: Final answer
    x = 2,015,971.40

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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.