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Finding the Third Proportional to 428,032 and 927,394

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Solution

The third proportional to 428,032 and 927,394 is: 2,009,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,032 : 927,394 = 927,394 : x
  2. Step 2: Convert to fraction form
    428,032/927,394 = 927,394/x
  3. Step 3: Cross multiply
    428,032x = 927,394 × 927,394
  4. Step 4: Simplify right side
    428,032x = 860,059,631,236
  5. Step 5: Solve for x
    x = 860,059,631,236/428,032
  6. Step 6: Final answer
    x = 2,009,334.89

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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.