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Finding the Third Proportional to 439,880 and 941,968

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Solution

The third proportional to 439,880 and 941,968 is: 2,017,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,880 : 941,968 = 941,968 : x
  2. Step 2: Convert to fraction form
    439,880/941,968 = 941,968/x
  3. Step 3: Cross multiply
    439,880x = 941,968 × 941,968
  4. Step 4: Simplify right side
    439,880x = 887,303,713,024
  5. Step 5: Solve for x
    x = 887,303,713,024/439,880
  6. Step 6: Final answer
    x = 2,017,149.48

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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.