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Finding the Third Proportional to 439,872 and 941,952

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Solution

The third proportional to 439,872 and 941,952 is: 2,017,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,872 : 941,952 = 941,952 : x
  2. Step 2: Convert to fraction form
    439,872/941,952 = 941,952/x
  3. Step 3: Cross multiply
    439,872x = 941,952 × 941,952
  4. Step 4: Simplify right side
    439,872x = 887,273,570,304
  5. Step 5: Solve for x
    x = 887,273,570,304/439,872
  6. Step 6: Final answer
    x = 2,017,117.64

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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.