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Finding the Third Proportional to 428,427 and 933,039

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Solution

The third proportional to 428,427 and 933,039 is: 2,031,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,427 : 933,039 = 933,039 : x
  2. Step 2: Convert to fraction form
    428,427/933,039 = 933,039/x
  3. Step 3: Cross multiply
    428,427x = 933,039 × 933,039
  4. Step 4: Simplify right side
    428,427x = 870,561,775,521
  5. Step 5: Solve for x
    x = 870,561,775,521/428,427
  6. Step 6: Final answer
    x = 2,031,995.59

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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.