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Finding the Third Proportional to 428,589 and 933,370

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Solution

The third proportional to 428,589 and 933,370 is: 2,032,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,589 : 933,370 = 933,370 : x
  2. Step 2: Convert to fraction form
    428,589/933,370 = 933,370/x
  3. Step 3: Cross multiply
    428,589x = 933,370 × 933,370
  4. Step 4: Simplify right side
    428,589x = 871,179,556,900
  5. Step 5: Solve for x
    x = 871,179,556,900/428,589
  6. Step 6: Final answer
    x = 2,032,668.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.