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Finding the Third Proportional to 438,055 and 941,553

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Solution

The third proportional to 438,055 and 941,553 is: 2,023,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,055 : 941,553 = 941,553 : x
  2. Step 2: Convert to fraction form
    438,055/941,553 = 941,553/x
  3. Step 3: Cross multiply
    438,055x = 941,553 × 941,553
  4. Step 4: Simplify right side
    438,055x = 886,522,051,809
  5. Step 5: Solve for x
    x = 886,522,051,809/438,055
  6. Step 6: Final answer
    x = 2,023,768.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.