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Finding the Third Proportional to 649,848 and 1,004,274

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Solution

The third proportional to 649,848 and 1,004,274 is: 1,552,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,848 : 1,004,274 = 1,004,274 : x
  2. Step 2: Convert to fraction form
    649,848/1,004,274 = 1,004,274/x
  3. Step 3: Cross multiply
    649,848x = 1,004,274 × 1,004,274
  4. Step 4: Simplify right side
    649,848x = 1,008,566,267,076
  5. Step 5: Solve for x
    x = 1,008,566,267,076/649,848
  6. Step 6: Final answer
    x = 1,552,003.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.