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Finding the Third Proportional to 630,978 and 917,667

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Solution

The third proportional to 630,978 and 917,667 is: 1,334,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,978 : 917,667 = 917,667 : x
  2. Step 2: Convert to fraction form
    630,978/917,667 = 917,667/x
  3. Step 3: Cross multiply
    630,978x = 917,667 × 917,667
  4. Step 4: Simplify right side
    630,978x = 842,112,722,889
  5. Step 5: Solve for x
    x = 842,112,722,889/630,978
  6. Step 6: Final answer
    x = 1,334,615.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.