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Finding the Third Proportional to 440,112 and 938,356

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Solution

The third proportional to 440,112 and 938,356 is: 2,000,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,112 : 938,356 = 938,356 : x
  2. Step 2: Convert to fraction form
    440,112/938,356 = 938,356/x
  3. Step 3: Cross multiply
    440,112x = 938,356 × 938,356
  4. Step 4: Simplify right side
    440,112x = 880,511,982,736
  5. Step 5: Solve for x
    x = 880,511,982,736/440,112
  6. Step 6: Final answer
    x = 2,000,654.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.