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Finding the Third Proportional to 438,021 and 941,526

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Solution

The third proportional to 438,021 and 941,526 is: 2,023,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,021 : 941,526 = 941,526 : x
  2. Step 2: Convert to fraction form
    438,021/941,526 = 941,526/x
  3. Step 3: Cross multiply
    438,021x = 941,526 × 941,526
  4. Step 4: Simplify right side
    438,021x = 886,471,208,676
  5. Step 5: Solve for x
    x = 886,471,208,676/438,021
  6. Step 6: Final answer
    x = 2,023,809.84

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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.