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Finding the Third Proportional to 428,950 and 932,609

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Solution

The third proportional to 428,950 and 932,609 is: 2,027,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,950 : 932,609 = 932,609 : x
  2. Step 2: Convert to fraction form
    428,950/932,609 = 932,609/x
  3. Step 3: Cross multiply
    428,950x = 932,609 × 932,609
  4. Step 4: Simplify right side
    428,950x = 869,759,546,881
  5. Step 5: Solve for x
    x = 869,759,546,881/428,950
  6. Step 6: Final answer
    x = 2,027,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.