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Finding the Third Proportional to 428,662 and 905,924

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Solution

The third proportional to 428,662 and 905,924 is: 1,914,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,662 : 905,924 = 905,924 : x
  2. Step 2: Convert to fraction form
    428,662/905,924 = 905,924/x
  3. Step 3: Cross multiply
    428,662x = 905,924 × 905,924
  4. Step 4: Simplify right side
    428,662x = 820,698,293,776
  5. Step 5: Solve for x
    x = 820,698,293,776/428,662
  6. Step 6: Final answer
    x = 1,914,558.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.